﻿149:@0.918240:0.966765:0.943652:0.966765:0.943652:0.950778:0.918240:0.950778:0.000000:0.000000:0.000000
Reglas básicas de derivación de funciones algebráicas:@0.108233:0.549737:0.532311:0.549737:0.532311:0.532055:0.108233:0.532055:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La derivada de una función se puede obtener directamente utilizando ciertas reglas básicas de derivación. :@0.108233:0.573573:0.860420:0.573573:0.860420:0.557075:0.108233:0.557075:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Estas nos ayudan a simplificar el proceso de derivación, ahorrar tiempo al derivar y disminuir el riesgo de :@0.108233:0.590923:0.860460:0.590923:0.860460:0.574426:0.108233:0.574426:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
equivocarnos cuando se trata de funciones largas.:@0.108233:0.608274:0.460993:0.608274:0.460993:0.591776:0.108233:0.591776:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para valores de | | no nulos y cada vez más próximos a 0, el cociente :@0.108233:0.103324:0.599917:0.103324:0.599917:0.086826:0.108233:0.086826:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.223584:0.103439:0.232985:0.103439:0.232985:0.086971:0.223584:0.086971:0.000000
incremental se aproxima cada vez a 10. Calculemos la distancia de 10 :@0.108233:0.120674:0.599975:0.120674:0.599975:0.104177:0.108233:0.104177:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a  ( ), esto es,  (10,  ( )),   ≠ 0. Se tiene: :@0.108233:0.138025:0.407557:0.138025:0.407557:0.121528:0.108233:0.121528:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Q h:@0.120216:0.138141:0.147457:0.138141:0.147457:0.121672:0.120216:0.121672:0.000000:0.000000:0.000000
d:@0.215675:0.138141:0.224846:0.138141:0.224846:0.121672:0.215675:0.121672:0.000000
Q h h:@0.254688:0.138141:0.310133:0.138141:0.310133:0.121672:0.254688:0.121672:0.000000:0.000000:0.000000:0.000000:0.000000
d:@0.108233:0.172842:0.117403:0.172842:0.117403:0.156374:0.108233:0.156374:0.000000
(10,  ( )) = | ( ) – 10| =       (32 + 24  + 8  +  ) + 2 – 10  = :@0.117403:0.172727:0.566511:0.172726:0.566511:0.156228:0.117403:0.156229:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Q h:@0.147245:0.172842:0.174486:0.172842:0.174486:0.156374:0.147245:0.156374:0.000000:0.000000:0.000000
Q h:@0.210493:0.172842:0.237734:0.172842:0.237734:0.156374:0.210493:0.156374:0.000000:0.000000:0.000000
|:@0.303559:0.178190:0.308568:0.178190:0.308568:0.148495:0.303559:0.148495:0.000000
h:@0.388307:0.172842:0.397709:0.172842:0.397709:0.156373:0.388307:0.156373:0.000000
h:@0.425296:0.172842:0.434698:0.172842:0.434698:0.156373:0.425296:0.156373:0.000000
2:@0.434695:0.166373:0.439649:0.166373:0.439649:0.156755:0.434695:0.156755:0.000000
h:@0.458741:0.172842:0.468142:0.172842:0.468142:0.156373:0.458741:0.156373:0.000000
3:@0.468142:0.166373:0.473095:0.166373:0.473095:0.156755:0.468142:0.156755:0.000000
|:@0.542410:0.178190:0.547419:0.178190:0.547419:0.148495:0.542410:0.148495:0.000000
|:@0.108233:0.212892:0.113242:0.212892:0.113242:0.183196:0.108233:0.183196:0.000000
6  + 2  +      :@0.113242:0.207428:0.212884:0.207428:0.212884:0.190930:0.113242:0.190930:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.121738:0.207543:0.131139:0.207543:0.131139:0.191075:0.121738:0.191075:0.000000
h:@0.158727:0.207543:0.168129:0.207543:0.168129:0.191075:0.158727:0.191075:0.000000
2:@0.168128:0.201075:0.173081:0.201075:0.173081:0.191457:0.168128:0.191457:0.000000
h h:@0.212884:0.207543:0.250278:0.207543:0.250278:0.191075:0.212884:0.191075:0.000000:0.000000:0.000000
3:@0.222283:0.201075:0.227237:0.201075:0.227237:0.191457:0.222283:0.191457:0.000000
|:@0.227237:0.212892:0.232246:0.212892:0.232246:0.183196:0.227237:0.183196:0.000000
 ,   ≠ 0.:@0.232246:0.207428:0.280621:0.207428:0.280621:0.190930:0.232246:0.190930:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Observamos que para | | no nulo y suficientemente pequeño,:@0.108236:0.243228:0.550098:0.243228:0.550098:0.226730:0.108236:0.226730:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.274375:0.243344:0.283777:0.243344:0.283777:0.226875:0.274375:0.226875:0.000000
| | < 1,  (10,  ( )) =  6  + 2  +      :@0.108236:0.267707:0.364035:0.267700:0.364035:0.251202:0.108236:0.251209:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.113245:0.267823:0.122646:0.267823:0.122646:0.251354:0.113245:0.251354:0.000000
d:@0.162140:0.267823:0.171310:0.267823:0.171310:0.251354:0.162140:0.251354:0.000000
Q h:@0.201152:0.267823:0.228393:0.267823:0.228393:0.251354:0.201152:0.251354:0.000000:0.000000:0.000000
|:@0.259385:0.273164:0.264394:0.273164:0.264394:0.243469:0.259385:0.243469:0.000000
h:@0.272890:0.267816:0.282291:0.267816:0.282291:0.251347:0.272890:0.251347:0.000000
h:@0.309879:0.267816:0.319281:0.267816:0.319281:0.251347:0.309879:0.251347:0.000000
2:@0.319280:0.261348:0.324233:0.261348:0.324233:0.251730:0.319280:0.251730:0.000000
h:@0.364035:0.267816:0.373437:0.267816:0.373437:0.251347:0.364035:0.251347:0.000000
3 :@0.373435:0.261348:0.380803:0.261348:0.380803:0.251730:0.373435:0.251730:0.000000:0.000000
| :@0.380803:0.273164:0.389954:0.273164:0.389954:0.243469:0.380803:0.243469:0.000000:0.000000
es también suficientemente:@0.389955:0.267700:0.586726:0.267700:0.586726:0.251202:0.389955:0.251202:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pequeño. En efecto, sea   > 0. Entonces, como 0 < | | <   ≤ | |, y por :@0.108239:0.292179:0.599921:0.292180:0.599921:0.275682:0.108239:0.275681:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ε:@0.275995:0.291673:0.284453:0.291673:0.284453:0.273961:0.275995:0.273961:0.000000
h:@0.464621:0.292295:0.474023:0.292295:0.474023:0.275826:0.464621:0.275826:0.000000
3:@0.473986:0.285827:0.478940:0.285827:0.478940:0.276209:0.473986:0.276209:0.000000
h:@0.501615:0.292295:0.511017:0.292295:0.511017:0.275827:0.501615:0.275827:0.000000
2:@0.511011:0.285827:0.515964:0.285827:0.515964:0.276209:0.511011:0.276209:0.000000
h:@0.538638:0.292295:0.548040:0.292295:0.548040:0.275827:0.538638:0.275827:0.000000
la desigualdad triangular, se tiene: :@0.108233:0.309531:0.347679:0.309531:0.347679:0.293033:0.108233:0.293033:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d:@0.108233:0.337682:0.117403:0.337682:0.117403:0.321213:0.108233:0.321213:0.000000
(10,  ( )) =  6  + 2  +      :@0.117403:0.337566:0.310131:0.337573:0.310131:0.321076:0.117403:0.321069:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Q h:@0.147245:0.337682:0.174486:0.337682:0.174486:0.321213:0.147245:0.321213:0.000000:0.000000:0.000000
|:@0.205482:0.343038:0.210491:0.343038:0.210491:0.313342:0.205482:0.313342:0.000000
h:@0.218987:0.337689:0.228389:0.337689:0.228389:0.321220:0.218987:0.321220:0.000000
h:@0.255977:0.337689:0.265378:0.337689:0.265378:0.321220:0.255977:0.321220:0.000000
2:@0.265377:0.331220:0.270330:0.331220:0.270330:0.321602:0.265377:0.321602:0.000000
h:@0.310131:0.337689:0.319533:0.337689:0.319533:0.321220:0.310131:0.321220:0.000000
3:@0.319533:0.331220:0.324486:0.331220:0.324486:0.321602:0.319533:0.321602:0.000000
|:@0.324485:0.343038:0.329494:0.343038:0.329494:0.313342:0.324485:0.313342:0.000000
 ≤ 6| | + 2  +      | |  <       | | <  , :@0.329494:0.337573:0.580145:0.337573:0.580145:0.321076:0.329494:0.321076:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.362090:0.337689:0.371492:0.337689:0.371492:0.321220:0.362090:0.321220:0.000000
h:@0.404089:0.337689:0.413490:0.337689:0.413490:0.321220:0.404089:0.321220:0.000000
2:@0.413489:0.331220:0.418442:0.331220:0.418442:0.321602:0.413489:0.321602:0.000000
h:@0.463253:0.337689:0.472655:0.337689:0.472655:0.321220:0.463253:0.321220:0.000000
3:@0.477662:0.331220:0.482615:0.331220:0.482615:0.321602:0.477662:0.321602:0.000000
h:@0.531569:0.337689:0.540970:0.337689:0.540970:0.321220:0.531569:0.321220:0.000000
ε:@0.565069:0.345160:0.573251:0.345160:0.573251:0.326161:0.565069:0.326161:0.000000
de donde 0 < | | <        . Así, 0 < | | <        :@0.108223:0.372275:0.407449:0.372275:0.407449:0.355777:0.108223:0.355777:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.213853:0.372391:0.223254:0.372391:0.223254:0.355922:0.213853:0.355922:0.000000
h:@0.344952:0.372391:0.354354:0.372391:0.354354:0.355922:0.344952:0.355922:0.000000
 :@0.423307:0.371769:0.428123:0.371769:0.428123:0.354057:0.423307:0.354057:0.000000
d:@0.428123:0.372391:0.437294:0.372391:0.437294:0.355922:0.428123:0.355922:0.000000
(10,  ( )) <  ,:@0.437294:0.372275:0.536306:0.372275:0.536306:0.355777:0.437294:0.355777:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Q h:@0.467136:0.372391:0.494377:0.372391:0.494377:0.355922:0.467136:0.355922:0.000000:0.000000:0.000000
ε:@0.525373:0.379861:0.533555:0.379861:0.533555:0.360862:0.525373:0.360862:0.000000
 :@0.108232:0.389626:0.112374:0.389626:0.112374:0.373128:0.108232:0.373128:0.000000
que significa que: :@0.108232:0.406976:0.234090:0.406976:0.234090:0.390479:0.108232:0.390479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lím:@0.130907:0.435128:0.153101:0.435128:0.153101:0.418659:0.130907:0.418659:0.000000:0.000000:0.000000
                              = :@0.153101:0.435012:0.292312:0.435012:0.292312:0.418515:0.153101:0.418515:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lím        :@0.292312:0.435128:0.348605:0.435128:0.348605:0.418659:0.292312:0.418659:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(32 + 24  + 8  +  ) + 2   = 10.:@0.348605:0.435012:0.573088:0.435019:0.573088:0.418522:0.348605:0.418515:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.407634:0.435128:0.417035:0.435128:0.417035:0.418659:0.407634:0.418659:0.000000
h:@0.444623:0.435128:0.454024:0.435128:0.454024:0.418659:0.444623:0.418659:0.000000
2:@0.454026:0.428666:0.458979:0.428666:0.458979:0.419048:0.454026:0.419048:0.000000
h:@0.478070:0.435135:0.487471:0.435135:0.487471:0.418666:0.478070:0.418666:0.000000
3:@0.487470:0.428666:0.492424:0.428666:0.492424:0.419048:0.487470:0.419048:0.000000
A este número real se le llama :@0.108236:0.469721:0.323928:0.469721:0.323928:0.453223:0.108236:0.453223:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
derivada:@0.323928:0.469938:0.387502:0.469938:0.387502:0.453223:0.323928:0.453223:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 de la función   en el punto:@0.387506:0.469721:0.583778:0.469721:0.583778:0.453223:0.387506:0.453223:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.488569:0.469836:0.497836:0.469836:0.497836:0.453368:0.488569:0.453368:0.000000
x:@0.108236:0.494315:0.115711:0.494315:0.115711:0.477847:0.108236:0.477847:0.000000
 = 2. Se escribe        (2) = 10.:@0.115711:0.494200:0.312966:0.494200:0.312966:0.477702:0.115711:0.477702:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.315459:0.165039:0.323955:0.165039:0.323955:0.148541:0.315459:0.148541:0.000000
4:@0.315459:0.181378:0.323955:0.181378:0.323955:0.164880:0.315459:0.164880:0.000000
1:@0.197783:0.199733:0.206279:0.199733:0.206279:0.183235:0.197783:0.183235:0.000000
4:@0.197783:0.216072:0.206279:0.216072:0.206279:0.199574:0.197783:0.199574:0.000000
1:@0.349545:0.262326:0.358041:0.262326:0.358041:0.245829:0.349545:0.245829:0.000000
4:@0.349545:0.278665:0.358041:0.278665:0.358041:0.262167:0.349545:0.262167:0.000000
1:@0.294433:0.332528:0.302929:0.332528:0.302929:0.316030:0.294433:0.316030:0.000000
4:@0.294433:0.348866:0.302929:0.348866:0.302929:0.332369:0.294433:0.332369:0.000000
1:@0.442922:0.332528:0.451418:0.332528:0.451418:0.316030:0.442922:0.316030:0.000000
4:@0.442922:0.348866:0.451418:0.348866:0.451418:0.332369:0.442922:0.332369:0.000000
33:@0.504774:0.332528:0.521766:0.332528:0.521766:0.316030:0.504774:0.316030:0.000000:0.000000
4:@0.509012:0.348866:0.517508:0.348866:0.517508:0.332369:0.509012:0.332369:0.000000
4:@0.252446:0.366730:0.260942:0.366730:0.260942:0.350233:0.252446:0.350233:0.000000
ε:@0.260941:0.374317:0.269123:0.374317:0.269123:0.355318:0.260941:0.355318:0.000000
33:@0.252287:0.383075:0.269279:0.383075:0.269279:0.366577:0.252287:0.366577:0.000000:0.000000
4:@0.383735:0.366730:0.392231:0.366730:0.392231:0.350233:0.383735:0.350233:0.000000
ε:@0.392230:0.374317:0.400412:0.374317:0.400412:0.355318:0.392230:0.355318:0.000000
33:@0.383575:0.383075:0.400567:0.383075:0.400567:0.366577:0.383575:0.366577:0.000000:0.000000
p  + h:@0.162318:0.430132:0.214604:0.430132:0.214604:0.413663:0.162318:0.413663:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(2:@0.171585:0.430016:0.186034:0.430016:0.186034:0.413519:0.171585:0.413519:0.000000:0.000000
) –  (2):@0.214604:0.430016:0.269009:0.430016:0.269009:0.413519:0.214604:0.413519:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.239341:0.430132:0.248607:0.430132:0.248607:0.413663:0.239341:0.413663:0.000000
h:@0.210963:0.446471:0.220364:0.446471:0.220364:0.430002:0.210963:0.430002:0.000000
h:@0.130919:0.449121:0.137051:0.449121:0.137051:0.438381:0.130919:0.438381:0.000000
→:@0.137051:0.448439:0.147798:0.448439:0.147798:0.438428:0.137051:0.438428:0.000000
0:@0.147796:0.449046:0.153336:0.449046:0.153336:0.438286:0.147796:0.438286:0.000000
h:@0.291983:0.449121:0.298115:0.449121:0.298115:0.438381:0.291983:0.438381:0.000000
→:@0.298111:0.448439:0.308859:0.448439:0.308859:0.438428:0.298111:0.438428:0.000000
0:@0.308856:0.449046:0.314397:0.449046:0.314397:0.438286:0.308856:0.438286:0.000000
1:@0.335055:0.429991:0.343551:0.429991:0.343551:0.413494:0.335055:0.413494:0.000000
4:@0.335055:0.446330:0.343551:0.446330:0.343551:0.429832:0.335055:0.429832:0.000000
dp:@0.230221:0.488935:0.248580:0.488935:0.248580:0.472466:0.230221:0.472466:0.000000:0.000000
dx:@0.231165:0.505273:0.247656:0.505273:0.247656:0.488805:0.231165:0.488805:0.000000:0.000000
Nombre:@0.183567:0.634686:0.241684:0.634686:0.241684:0.619214:0.183567:0.619214:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Regla:@0.437848:0.634686:0.475702:0.634686:0.475702:0.619214:0.437848:0.619214:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplos:@0.694926:0.634686:0.758653:0.634686:0.758653:0.619214:0.694926:0.619214:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Derivada de una constante:@0.116997:0.661938:0.261086:0.661938:0.261086:0.649026:0.116997:0.649026:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea   una constante,:@0.322830:0.651878:0.435848:0.651878:0.435848:0.638967:0.322830:0.638967:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.344948:0.652161:0.350859:0.652161:0.350859:0.639035:0.344948:0.639035:0.000000
Derivada de una potencia:@0.116997:0.698827:0.256777:0.698827:0.256777:0.685916:0.116997:0.685916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea             y      :@0.322830:0.688677:0.409418:0.688677:0.409418:0.675765:0.322830:0.675765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Derivada del producto de una :@0.116997:0.734449:0.281606:0.734449:0.281606:0.721537:0.116997:0.721537:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
constante por una función:@0.116997:0.747020:0.260349:0.747020:0.260349:0.734109:0.116997:0.734109:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea   una constante::@0.322830:0.725656:0.435728:0.725656:0.435728:0.712745:0.322830:0.712745:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.344948:0.725939:0.350859:0.725939:0.350859:0.712813:0.344948:0.712813:0.000000
Derivada de la suma o diferencia  :@0.116997:0.782190:0.295978:0.782190:0.295978:0.769278:0.116997:0.769278:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de funciones:@0.116997:0.794761:0.186034:0.794761:0.186034:0.781850:0.116997:0.781850:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean  , g dos funciones y h definida por::@0.322830:0.772481:0.543329:0.772481:0.543329:0.759569:0.322830:0.759569:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.352411:0.772764:0.356196:0.772764:0.356196:0.759637:0.352411:0.759637:0.000000
Derivada del producto de dos :@0.116997:0.831322:0.280536:0.831322:0.280536:0.818411:0.116997:0.818411:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
funciones:@0.116997:0.843894:0.169494:0.843894:0.169494:0.830983:0.116997:0.830983:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean  , g dos funciones y h definida por::@0.322830:0.821116:0.543329:0.821116:0.543329:0.808204:0.322830:0.808204:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.352411:0.821399:0.356196:0.821399:0.356196:0.808272:0.352411:0.808272:0.000000
Derivada del cociente de dos :@0.116997:0.902362:0.274974:0.902362:0.274974:0.889451:0.116997:0.889451:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
funciones:@0.116997:0.914934:0.169494:0.914934:0.169494:0.902023:0.116997:0.902023:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean  , g dos funciones y h definida por::@0.322830:0.870758:0.543329:0.870758:0.543329:0.857846:0.322830:0.857846:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.352411:0.871041:0.356196:0.871041:0.356196:0.857914:0.352411:0.857914:0.000000
 :@0.812465:0.904892:0.814964:0.904892:0.814964:0.893789:0.812465:0.893789:0.000000
( ):@0.721974:0.899346:0.744215:0.899346:0.744215:0.884714:0.721974:0.884714:0.000000:0.000000:0.000000
( ):@0.792739:0.899346:0.806243:0.899346:0.806243:0.884714:0.792739:0.884714:0.000000:0.000000:0.000000
(:@0.731001:0.914217:0.735019:0.914217:0.735019:0.899585:0.731001:0.899585:0.000000
):@0.757393:0.914217:0.761411:0.914217:0.761411:0.899585:0.757393:0.899585:0.000000
(:@0.699454:0.944037:0.703472:0.944037:0.703472:0.929404:0.699454:0.929404:0.000000
):@0.725846:0.944037:0.729864:0.944037:0.729864:0.929404:0.725846:0.929404:0.000000
2:@0.695276:0.867948:0.698811:0.867948:0.698811:0.860862:0.695276:0.860862:0.000000
2:@0.765613:0.893595:0.769148:0.893595:0.769148:0.886509:0.765613:0.886509:0.000000
2:@0.761709:0.907074:0.765245:0.907074:0.765245:0.899987:0.761709:0.899987:0.000000
2:@0.698316:0.924203:0.701852:0.924203:0.701852:0.917117:0.698316:0.917117:0.000000
2:@0.730151:0.936898:0.733686:0.936898:0.733686:0.929812:0.730151:0.929812:0.000000
2:@0.710978:0.873214:0.717105:0.873214:0.717105:0.860932:0.710978:0.860932:0.000000
():@0.660754:0.878940:0.675473:0.878940:0.675473:0.866658:0.660754:0.866658:0.000000:0.000000
,:@0.719140:0.878940:0.722204:0.878940:0.722204:0.866658:0.719140:0.866658:0.000000
1:@0.708110:0.886070:0.714238:0.886070:0.714238:0.873788:0.708110:0.873788:0.000000
(:@0.691553:0.898854:0.695634:0.898854:0.695634:0.886572:0.691553:0.886572:0.000000
1) 2:@0.711492:0.898854:0.733111:0.898854:0.733111:0.886572:0.711492:0.886572:0.000000:0.000000:0.000000:0.000000
(:@0.754632:0.898854:0.758713:0.898854:0.758713:0.886572:0.754632:0.886572:0.000000
2) 1:@0.781274:0.898854:0.802513:0.898854:0.802513:0.886572:0.781274:0.886572:0.000000:0.000000:0.000000:0.000000
'( ):@0.662090:0.905373:0.678525:0.905373:0.678525:0.893091:0.662090:0.893091:0.000000:0.000000:0.000000:0.000000
,:@0.808311:0.905373:0.811375:0.905373:0.811375:0.893091:0.808311:0.893091:0.000000
1:@0.751654:0.913707:0.757782:0.913707:0.757782:0.901425:0.751654:0.901425:0.000000
2:@0.713858:0.929472:0.696786:0.929472:0.696786:0.917190:0.713858:0.917190:0.000000
2:@0.737057:0.929472:0.719985:0.929472:0.719985:0.917190:0.737057:0.917190:0.000000
'( ):@0.662090:0.935217:0.678525:0.935217:0.678525:0.922934:0.662090:0.922934:0.000000:0.000000:0.000000:0.000000
1:@0.720096:0.943532:0.726223:0.943532:0.726223:0.931250:0.720096:0.931250:0.000000
x:@0.689297:0.873214:0.694739:0.873214:0.694739:0.861087:0.689297:0.861087:0.000000
hx:@0.654492:0.878940:0.671159:0.878940:0.671159:0.866813:0.654492:0.866813:0.000000:0.000000
x:@0.693097:0.886070:0.698538:0.886070:0.698538:0.873943:0.693097:0.873943:0.000000
x:@0.696516:0.898854:0.676196:0.898854:0.676196:0.886727:0.696516:0.886727:0.000000
x:@0.733871:0.898854:0.713551:0.898854:0.713551:0.886727:0.733871:0.886727:0.000000
x:@0.759632:0.898854:0.739312:0.898854:0.739312:0.886727:0.759632:0.886727:0.000000
hx:@0.654492:0.905373:0.674199:0.905373:0.674199:0.893246:0.654492:0.893246:0.000000:0.000000
x:@0.736629:0.913707:0.742070:0.913707:0.742070:0.901580:0.736629:0.901580:0.000000
x:@0.692337:0.929472:0.669419:0.929472:0.669419:0.917345:0.692337:0.917345:0.000000
x:@0.720696:0.929472:0.697778:0.929472:0.697778:0.917345:0.720696:0.917345:0.000000
hx:@0.654492:0.935217:0.674199:0.935217:0.674199:0.923090:0.654492:0.923090:0.000000:0.000000
x:@0.705070:0.943532:0.710512:0.943532:0.710512:0.931405:0.705070:0.931405:0.000000
+:@0.702056:0.872420:0.708784:0.872420:0.708784:0.861251:0.702056:0.861251:0.000000
=:@0.678255:0.878147:0.684984:0.878147:0.684984:0.866977:0.678255:0.866977:0.000000
-:@0.700707:0.885277:0.707436:0.885277:0.707436:0.874107:0.700707:0.874107:0.000000
-:@0.704127:0.898060:0.668843:0.898060:0.668843:0.886891:0.704127:0.886891:0.000000
-:@0.746139:0.898060:0.710855:0.898060:0.710855:0.886891:0.746139:0.886891:0.000000
+:@0.772402:0.898060:0.779131:0.898060:0.779131:0.886891:0.772402:0.886891:0.000000
=:@0.681307:0.904580:0.688035:0.904580:0.688035:0.893410:0.681307:0.893410:0.000000
-:@0.744239:0.912914:0.750967:0.912914:0.750967:0.901744:0.744239:0.901744:0.000000
-:@0.705107:0.928679:0.688636:0.928679:0.688636:0.917509:0.705107:0.917509:0.000000
-:@0.728307:0.928679:0.711835:0.928679:0.711835:0.917509:0.728307:0.917509:0.000000
=:@0.681307:0.934423:0.688035:0.934423:0.688035:0.923254:0.681307:0.923254:0.000000
-:@0.712681:0.942739:0.719409:0.942739:0.719409:0.931569:0.712681:0.931569:0.000000
 :@0.443578:0.667127:0.446076:0.667127:0.446076:0.656024:0.443578:0.656024:0.000000
():@0.361518:0.667729:0.376283:0.667729:0.376283:0.655089:0.361518:0.655089:0.000000:0.000000
; '() 0:@0.393657:0.667729:0.442982:0.667729:0.442982:0.655089:0.393657:0.655089:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.355240:0.667729:0.371946:0.667729:0.371946:0.655249:0.355240:0.655249:0.000000:0.000000:0.000000
cf x:@0.388343:0.667729:0.420458:0.667729:0.420458:0.655249:0.388343:0.655249:0.000000:0.000000:0.000000:0.000000
=:@0.379027:0.666913:0.385810:0.666913:0.385810:0.655418:0.379027:0.655418:0.000000
=:@0.427556:0.666913:0.434340:0.666913:0.434340:0.655418:0.427556:0.655418:0.000000
 :@0.416095:0.702942:0.418594:0.702942:0.418594:0.691839:0.416095:0.691839:0.000000
1:@0.412008:0.698542:0.415634:0.698542:0.415634:0.691609:0.412008:0.691609:0.000000
'( ):@0.363531:0.703696:0.380113:0.703696:0.380113:0.691687:0.363531:0.691687:0.000000:0.000000:0.000000:0.000000
n:@0.404506:0.698542:0.408132:0.698542:0.408132:0.691696:0.404506:0.691696:0.000000
f x:@0.355904:0.703696:0.375803:0.703696:0.375803:0.691839:0.355904:0.691839:0.000000:0.000000:0.000000
nx:@0.392372:0.703696:0.404055:0.703696:0.404055:0.691839:0.392372:0.691839:0.000000:0.000000
-:@0.408470:0.698095:0.412451:0.698095:0.412451:0.691789:0.408470:0.691789:0.000000
=:@0.382822:0.702921:0.389718:0.702921:0.389718:0.691999:0.382822:0.691999:0.000000
 :@0.700894:0.658713:0.703393:0.658713:0.703393:0.647610:0.700894:0.647610:0.000000
():@0.663176:0.652661:0.677990:0.652661:0.677990:0.640631:0.663176:0.640631:0.000000:0.000000
9:@0.690096:0.652661:0.696167:0.652661:0.696167:0.640631:0.690096:0.640631:0.000000
'( ):@0.664512:0.666049:0.681062:0.666049:0.681062:0.654018:0.664512:0.654018:0.000000:0.000000:0.000000:0.000000
0:@0.693374:0.666049:0.699445:0.666049:0.699445:0.654018:0.693374:0.654018:0.000000
fx:@0.656814:0.652661:0.673558:0.652661:0.673558:0.640782:0.656814:0.640782:0.000000:0.000000
f x:@0.656814:0.666049:0.676634:0.666049:0.676634:0.654170:0.656814:0.654170:0.000000:0.000000:0.000000
=:@0.680855:0.651884:0.687522:0.651884:0.687522:0.640943:0.680855:0.640943:0.000000
=:@0.683940:0.665272:0.690606:0.665272:0.690606:0.654331:0.683940:0.654331:0.000000
 :@0.709941:0.696956:0.712439:0.696956:0.712439:0.685853:0.709941:0.685853:0.000000
5:@0.696013:0.684962:0.699513:0.684962:0.699513:0.677562:0.696013:0.677562:0.000000
4:@0.704889:0.700388:0.708389:0.700388:0.708389:0.692988:0.704889:0.692988:0.000000
():@0.662964:0.690464:0.677559:0.690464:0.677559:0.677649:0.662964:0.677649:0.000000:0.000000
'( ) 5:@0.664285:0.705896:0.698421:0.705896:0.698421:0.693081:0.664285:0.693081:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fx:@0.656721:0.690464:0.673219:0.690464:0.673219:0.677811:0.656721:0.677811:0.000000:0.000000
x:@0.690263:0.690464:0.695645:0.690464:0.695645:0.677811:0.690263:0.677811:0.000000
fx:@0.656721:0.705896:0.676237:0.705896:0.676237:0.693242:0.656721:0.693242:0.000000:0.000000
x:@0.698942:0.705896:0.704325:0.705896:0.704325:0.693242:0.698942:0.693242:0.000000
=:@0.680310:0.689637:0.686966:0.689637:0.686966:0.677982:0.680310:0.677982:0.000000
=:@0.683305:0.705068:0.689960:0.705068:0.689960:0.693414:0.683305:0.693414:0.000000
 :@0.785326:0.740276:0.787825:0.740276:0.787825:0.729173:0.785326:0.729173:0.000000
5:@0.702400:0.728282:0.705988:0.728282:0.705988:0.720882:0.702400:0.720882:0.000000
4:@0.714527:0.743708:0.652065:0.743708:0.652065:0.736308:0.714527:0.736308:0.000000
4:@0.780576:0.743708:0.718114:0.743708:0.718114:0.736308:0.780576:0.736308:0.000000
() 2:@0.662997:0.733785:0.696062:0.733785:0.696062:0.720970:0.662997:0.720970:0.000000:0.000000:0.000000:0.000000
'( ) 2.5 ;  '( ) 10:@0.664327:0.749216:0.773972:0.749216:0.773972:0.736401:0.664327:0.736401:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fx:@0.656747:0.733785:0.673398:0.733785:0.673398:0.721132:0.656747:0.721132:0.000000:0.000000
x:@0.696622:0.733785:0.702139:0.733785:0.702139:0.721132:0.696622:0.721132:0.000000
fx:@0.656747:0.749216:0.676429:0.749216:0.676429:0.736563:0.656747:0.736563:0.000000:0.000000
x:@0.708551:0.749216:0.714068:0.749216:0.714068:0.736563:0.708551:0.736563:0.000000
fx:@0.726916:0.749216:0.746599:0.749216:0.746599:0.736563:0.726916:0.736563:0.000000:0.000000
x:@0.774545:0.749216:0.780062:0.749216:0.780062:0.736563:0.774545:0.736563:0.000000
=:@0.680393:0.732957:0.687215:0.732957:0.687215:0.721303:0.680393:0.721303:0.000000
=:@0.683413:0.748388:0.690235:0.748388:0.690235:0.736734:0.683413:0.736734:0.000000
=:@0.753613:0.748388:0.760435:0.748388:0.760435:0.736734:0.753613:0.736734:0.000000
 :@0.515127:0.921080:0.517626:0.921080:0.517626:0.909978:0.515127:0.909978:0.000000
2:@0.465247:0.923611:0.468844:0.923611:0.468844:0.916372:0.465247:0.916372:0.000000
():@0.400768:0.915857:0.415486:0.915857:0.415486:0.903338:0.400768:0.903338:0.000000:0.000000
'():@0.431186:0.915857:0.447607:0.915857:0.447607:0.903338:0.431186:0.903338:0.000000:0.000000:0.000000
():@0.466704:0.915857:0.481421:0.915857:0.481421:0.903338:0.466704:0.903338:0.000000:0.000000
'():@0.496176:0.915857:0.512596:0.915857:0.512596:0.903338:0.496176:0.903338:0.000000:0.000000:0.000000
'( ):@0.363695:0.921721:0.380117:0.921721:0.380117:0.909203:0.363695:0.909203:0.000000:0.000000:0.000000:0.000000
[ ( )]:@0.434893:0.928961:0.465485:0.928961:0.465485:0.916443:0.434893:0.916443:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g x:@0.393777:0.915857:0.411206:0.915857:0.411206:0.903496:0.393777:0.903496:0.000000:0.000000:0.000000
fx:@0.423634:0.915857:0.443340:0.915857:0.443340:0.903496:0.423634:0.903496:0.000000:0.000000
f xg x:@0.460484:0.915857:0.508343:0.915857:0.508343:0.903496:0.460484:0.903496:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hx:@0.356131:0.921721:0.375850:0.921721:0.375850:0.909361:0.356131:0.909361:0.000000:0.000000
gx:@0.439820:0.928961:0.457262:0.928961:0.457262:0.916600:0.439820:0.916600:0.000000:0.000000
×:@0.416842:0.915048:0.390405:0.915048:0.390405:0.903664:0.416842:0.903664:0.000000
-:@0.449561:0.915048:0.423124:0.915048:0.423124:0.903664:0.449561:0.903664:0.000000
×:@0.482827:0.915048:0.456391:0.915048:0.456391:0.903664:0.482827:0.903664:0.000000
=:@0.382817:0.920913:0.389647:0.920913:0.389647:0.909528:0.382817:0.909528:0.000000
 :@0.465875:0.893794:0.468374:0.893794:0.468374:0.882691:0.465875:0.882691:0.000000
():@0.398772:0.888570:0.413527:0.888570:0.413527:0.876051:0.398772:0.876051:0.000000:0.000000
( ):@0.362394:0.894434:0.377136:0.894434:0.377136:0.881916:0.362394:0.881916:0.000000:0.000000:0.000000
; g(x) 0.:@0.415430:0.894434:0.464932:0.894434:0.464932:0.881916:0.415430:0.881916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
():@0.398286:0.901674:0.413042:0.901674:0.413042:0.889156:0.398286:0.889156:0.000000:0.000000
fx:@0.392514:0.888570:0.409222:0.888570:0.409222:0.876210:0.392514:0.876210:0.000000:0.000000
hx:@0.356111:0.894434:0.372832:0.894434:0.372832:0.882074:0.356111:0.882074:0.000000:0.000000
gx:@0.391257:0.901674:0.408712:0.901674:0.408712:0.889314:0.391257:0.889314:0.000000:0.000000
=:@0.379786:0.893626:0.386617:0.893626:0.386617:0.882241:0.379786:0.882241:0.000000
¹:@0.446297:0.893626:0.453127:0.893626:0.453127:0.882241:0.446297:0.882241:0.000000
 :@0.510634:0.850537:0.513133:0.850537:0.513133:0.839434:0.510634:0.839434:0.000000
'():@0.361258:0.851138:0.377759:0.851138:0.377759:0.838498:0.361258:0.838498:0.000000:0.000000:0.000000
():@0.398503:0.851138:0.413294:0.851138:0.413294:0.838498:0.398503:0.838498:0.000000:0.000000
'():@0.428147:0.851138:0.444647:0.851138:0.444647:0.838498:0.428147:0.838498:0.000000:0.000000:0.000000
():@0.463107:0.851138:0.477898:0.851138:0.477898:0.838498:0.463107:0.838498:0.000000:0.000000
'():@0.493711:0.851138:0.510213:0.851138:0.510213:0.838498:0.493711:0.838498:0.000000:0.000000:0.000000
h x:@0.353657:0.851138:0.373452:0.851138:0.373452:0.838657:0.353657:0.838657:0.000000:0.000000:0.000000
f x g x:@0.392237:0.851138:0.440341:0.851138:0.440341:0.838657:0.392237:0.838657:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gx:@0.456105:0.851138:0.473617:0.851138:0.473617:0.838657:0.456105:0.838657:0.000000:0.000000
f x:@0.486136:0.851138:0.505931:0.851138:0.505931:0.838657:0.486136:0.838657:0.000000:0.000000:0.000000
=:@0.380479:0.850321:0.387332:0.850321:0.387332:0.838826:0.380479:0.838826:0.000000
×:@0.414716:0.850321:0.417837:0.850321:0.417837:0.838826:0.414716:0.838826:0.000000
+:@0.446657:0.850321:0.453509:0.850321:0.453509:0.838826:0.446657:0.838826:0.000000
×:@0.479358:0.850321:0.482479:0.850321:0.482479:0.838826:0.479358:0.838826:0.000000
 :@0.440274:0.836280:0.442773:0.836280:0.442773:0.825177:0.440274:0.825177:0.000000
():@0.359921:0.836883:0.374665:0.836883:0.374665:0.824243:0.359921:0.824243:0.000000:0.000000
():@0.395374:0.836883:0.410118:0.836883:0.410118:0.824243:0.395374:0.824243:0.000000:0.000000
():@0.423622:0.836883:0.438366:0.836883:0.438366:0.824243:0.423622:0.824243:0.000000:0.000000
hx:@0.353646:0.836883:0.370337:0.836883:0.370337:0.824402:0.353646:0.824402:0.000000:0.000000
f x g x:@0.389099:0.836883:0.434051:0.836883:0.434051:0.824402:0.389099:0.824402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.377369:0.836066:0.384176:0.836066:0.384176:0.824571:0.377369:0.824571:0.000000
×:@0.411519:0.836066:0.414619:0.836066:0.414619:0.824571:0.411519:0.824571:0.000000
 :@0.444295:0.786485:0.446793:0.786485:0.446793:0.775382:0.444295:0.775382:0.000000
():@0.359943:0.787086:0.374709:0.787086:0.374709:0.774446:0.359943:0.774446:0.000000:0.000000
():@0.395517:0.787086:0.410283:0.787086:0.410283:0.774446:0.395517:0.774446:0.000000:0.000000
():@0.428804:0.787086:0.443570:0.787086:0.443570:0.774446:0.428804:0.774446:0.000000:0.000000
hx:@0.353666:0.787086:0.370372:0.787086:0.370372:0.774605:0.353666:0.774605:0.000000:0.000000
f x:@0.389240:0.787086:0.405946:0.787086:0.405946:0.774605:0.389240:0.774605:0.000000:0.000000:0.000000
g x:@0.421774:0.787086:0.439234:0.787086:0.439234:0.774605:0.421774:0.774605:0.000000:0.000000:0.000000
=:@0.377452:0.786269:0.384235:0.786269:0.384235:0.774774:0.377452:0.774774:0.000000
±:@0.412272:0.786269:0.419056:0.786269:0.419056:0.774774:0.412272:0.774774:0.000000
 :@0.453518:0.801354:0.456017:0.801354:0.456017:0.790251:0.453518:0.790251:0.000000
'( ):@0.361400:0.801955:0.377821:0.801955:0.377821:0.789315:0.361400:0.789315:0.000000:0.000000:0.000000:0.000000
'( ):@0.399810:0.801955:0.416230:0.801955:0.416230:0.789315:0.399810:0.789315:0.000000:0.000000:0.000000:0.000000
'( ):@0.435937:0.801955:0.452358:0.801955:0.452358:0.789315:0.435937:0.789315:0.000000:0.000000:0.000000:0.000000
hx:@0.353823:0.801955:0.373517:0.801955:0.373517:0.789474:0.353823:0.789474:0.000000:0.000000
f x:@0.392257:0.801955:0.411951:0.801955:0.411951:0.789474:0.392257:0.789474:0.000000:0.000000:0.000000
g x:@0.427640:0.801955:0.448091:0.801955:0.448091:0.789474:0.427640:0.789474:0.000000:0.000000:0.000000
=:@0.380524:0.801138:0.387333:0.801138:0.387333:0.789643:0.380524:0.789643:0.000000
±:@0.418202:0.801138:0.425011:0.801138:0.425011:0.789643:0.418202:0.789643:0.000000
 :@0.788342:0.837478:0.790841:0.837478:0.790841:0.826375:0.788342:0.826375:0.000000
5:@0.694063:0.818507:0.681919:0.818507:0.681919:0.811455:0.694063:0.811455:0.000000
2:@0.709766:0.818507:0.697622:0.818507:0.697622:0.811455:0.709766:0.811455:0.000000
5:@0.697102:0.833208:0.662464:0.833208:0.662464:0.826156:0.697102:0.826156:0.000000
2:@0.744532:0.833208:0.709894:0.833208:0.709894:0.826156:0.744532:0.826156:0.000000
4:@0.782730:0.833208:0.748092:0.833208:0.748092:0.826156:0.782730:0.826156:0.000000
6:@0.703495:0.847888:0.673975:0.847888:0.673975:0.840836:0.703495:0.840836:0.000000
4:@0.736574:0.847888:0.707054:0.847888:0.707054:0.840836:0.736574:0.840836:0.000000
( ):@0.660761:0.823745:0.675483:0.823745:0.675483:0.811540:0.660761:0.811540:0.000000:0.000000:0.000000
(:@0.698818:0.823745:0.702920:0.823745:0.702920:0.811540:0.698818:0.811540:0.000000
2):@0.725232:0.823745:0.735409:0.823745:0.735409:0.811540:0.725232:0.811540:0.000000:0.000000
'( ):@0.662079:0.838424:0.678514:0.838424:0.678514:0.826219:0.662079:0.826219:0.000000:0.000000:0.000000:0.000000
(2 ) (:@0.701849:0.838424:0.737651:0.838424:0.737651:0.826219:0.701849:0.826219:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2)5:@0.759963:0.838424:0.776175:0.838424:0.776175:0.826219:0.759963:0.826219:0.000000:0.000000:0.000000
'( ) 7:@0.662079:0.853121:0.696711:0.853121:0.696711:0.840916:0.662079:0.840916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10:@0.717643:0.853121:0.729877:0.853121:0.729877:0.840916:0.717643:0.840916:0.000000:0.000000
hx:@0.654490:0.823745:0.671147:0.823745:0.671147:0.811694:0.654490:0.811694:0.000000:0.000000
x x:@0.688259:0.823745:0.709204:0.823745:0.709204:0.811694:0.688259:0.811694:0.000000:0.000000:0.000000
hx:@0.654490:0.838424:0.674190:0.838424:0.674190:0.826373:0.654490:0.826373:0.000000:0.000000
x:@0.691302:0.838424:0.696773:0.838424:0.696773:0.826373:0.691302:0.826373:0.000000
x:@0.713048:0.838424:0.718518:0.838424:0.718518:0.826373:0.713048:0.826373:0.000000
x:@0.738501:0.838424:0.743971:0.838424:0.743971:0.826373:0.738501:0.826373:0.000000
x:@0.776694:0.838424:0.782164:0.838424:0.782164:0.826373:0.776694:0.826373:0.000000
hx:@0.654490:0.853121:0.674190:0.853121:0.674190:0.841070:0.654490:0.841070:0.000000:0.000000
x:@0.697573:0.853121:0.703044:0.853121:0.703044:0.841070:0.697573:0.841070:0.000000
x:@0.730542:0.853121:0.736013:0.853121:0.736013:0.841070:0.730542:0.841070:0.000000
=:@0.678231:0.822957:0.684994:0.822957:0.684994:0.811857:0.678231:0.811857:0.000000
-:@0.716534:0.822957:0.723298:0.822957:0.723298:0.811857:0.716534:0.811857:0.000000
=:@0.681262:0.837636:0.688025:0.837636:0.688025:0.826536:0.681262:0.826536:0.000000
+:@0.724850:0.837636:0.731614:0.837636:0.731614:0.826536:0.724850:0.826536:0.000000
-:@0.751265:0.837636:0.758029:0.837636:0.758029:0.826536:0.751265:0.826536:0.000000
=:@0.681262:0.852333:0.688025:0.852333:0.688025:0.841233:0.681262:0.841233:0.000000
-:@0.710251:0.852333:0.717015:0.852333:0.717015:0.841233:0.710251:0.841233:0.000000
 :@0.744116:0.787264:0.746614:0.787264:0.746614:0.776161:0.744116:0.776161:0.000000
3:@0.693925:0.775270:0.669484:0.775270:0.669484:0.767870:0.693925:0.767870:0.000000
2:@0.721958:0.775270:0.697518:0.775270:0.697518:0.767870:0.721958:0.767870:0.000000
2:@0.702661:0.790696:0.706254:0.790696:0.706254:0.783296:0.702661:0.783296:0.000000
():@0.660732:0.780773:0.675475:0.780773:0.675475:0.767958:0.660732:0.767958:0.000000:0.000000
2:@0.709166:0.780773:0.715386:0.780773:0.715386:0.767958:0.709166:0.767958:0.000000
3:@0.737220:0.780773:0.743441:0.780773:0.743441:0.767958:0.737220:0.767958:0.000000
'( ) 3:@0.662063:0.796204:0.696476:0.796204:0.696476:0.783389:0.662063:0.783389:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.718098:0.796204:0.724319:0.796204:0.724319:0.783389:0.718098:0.783389:0.000000
hx:@0.654474:0.780773:0.671145:0.780773:0.671145:0.768119:0.654474:0.768119:0.000000:0.000000
x:@0.688140:0.780773:0.693664:0.780773:0.693664:0.768119:0.688140:0.768119:0.000000
x:@0.715934:0.780773:0.721457:0.780773:0.721457:0.768119:0.715934:0.768119:0.000000
hx:@0.654474:0.796204:0.674181:0.796204:0.674181:0.783551:0.654474:0.783551:0.000000:0.000000
x:@0.696687:0.796204:0.702211:0.796204:0.702211:0.783551:0.696687:0.783551:0.000000
x:@0.724916:0.796204:0.730440:0.796204:0.730440:0.783551:0.724916:0.783551:0.000000
=:@0.678150:0.779945:0.684980:0.779945:0.684980:0.768291:0.678150:0.768291:0.000000
-:@0.700444:0.779945:0.707274:0.779945:0.707274:0.768291:0.700444:0.768291:0.000000
+:@0.728673:0.779945:0.735504:0.779945:0.735504:0.768291:0.728673:0.768291:0.000000
=:@0.681173:0.795376:0.688003:0.795376:0.688003:0.783722:0.681173:0.783722:0.000000
-:@0.709414:0.795376:0.716245:0.795376:0.716245:0.783722:0.709414:0.783722:0.000000
 :@0.381558:0.688953:0.384057:0.688953:0.384057:0.677850:0.381558:0.677850:0.000000
n:@0.348288:0.689599:0.354689:0.689599:0.354689:0.677118:0.348288:0.677118:0.000000
+:@0.375596:0.683712:0.379663:0.683712:0.379663:0.677060:0.375596:0.677060:0.000000
Î:@0.356187:0.688782:0.365315:0.688782:0.365315:0.677287:0.356187:0.677287:0.000000
!:@0.366646:0.689655:0.375185:0.689655:0.375185:0.678291:0.366646:0.678291:0.000000
 :@0.439081:0.688658:0.441580:0.688658:0.441580:0.677555:0.439081:0.677555:0.000000
():@0.400294:0.689412:0.415199:0.689412:0.415199:0.677403:0.400294:0.677403:0.000000:0.000000
n:@0.434035:0.684257:0.437669:0.684257:0.437669:0.677411:0.434035:0.677411:0.000000
fx:@0.393975:0.689412:0.410844:0.689412:0.410844:0.677554:0.393975:0.677554:0.000000:0.000000
x:@0.428001:0.689412:0.433591:0.689412:0.433591:0.677554:0.428001:0.677554:0.000000
=:@0.417881:0.688636:0.424791:0.688636:0.424791:0.677715:0.417881:0.677715:0.000000
 :@0.453341:0.740801:0.455840:0.740801:0.455840:0.729698:0.453341:0.729698:0.000000
Sea c una constante :@0.353073:0.727524:0.450907:0.727524:0.450907:0.715199:0.353073:0.715199:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
():@0.361219:0.741257:0.375869:0.741257:0.375869:0.728933:0.361219:0.728933:0.000000:0.000000
():@0.399457:0.741257:0.414106:0.741257:0.414106:0.728933:0.399457:0.728933:0.000000:0.000000
'( ):@0.362547:0.754991:0.378901:0.754991:0.378901:0.742666:0.362547:0.742666:0.000000:0.000000:0.000000:0.000000
'( ):@0.403816:0.754991:0.420171:0.754991:0.420171:0.742666:0.403816:0.742666:0.000000:0.000000:0.000000:0.000000
g x:@0.354217:0.741257:0.371534:0.741257:0.371534:0.729088:0.354217:0.729088:0.000000:0.000000:0.000000
cf x:@0.387900:0.741257:0.409771:0.741257:0.409771:0.729088:0.387900:0.729088:0.000000:0.000000:0.000000:0.000000
g x:@0.354217:0.754991:0.374566:0.754991:0.374566:0.742822:0.354217:0.742822:0.000000:0.000000:0.000000
cf x:@0.390932:0.754991:0.415823:0.754991:0.415823:0.742822:0.390932:0.742822:0.000000:0.000000:0.000000:0.000000
=:@0.378645:0.740461:0.385331:0.740461:0.385331:0.729253:0.378645:0.729253:0.000000
=:@0.381665:0.754195:0.388351:0.754195:0.388351:0.742986:0.381665:0.742986:0.000000
Interdisciplinariedad:@0.684851:0.107295:0.831636:0.107295:0.831636:0.091823:0.684851:0.091823:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática e Historia:@0.685088:0.136345:0.840757:0.136345:0.840757:0.120873:0.685088:0.120873:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El concepto de derivada de una :@0.638545:0.151764:0.846772:0.151764:0.846772:0.136701:0.638545:0.136701:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
función real contiene la exis-:@0.638545:0.167606:0.823117:0.167606:0.823117:0.152543:0.638545:0.152543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tencia del límite del cociente :@0.638545:0.183448:0.828058:0.183448:0.828058:0.168385:0.638545:0.168385:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
incremental y sus aplicaciones. :@0.638545:0.199290:0.840317:0.199290:0.840317:0.184227:0.638545:0.184227:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una de las primeras fue hallar la :@0.638545:0.215132:0.848023:0.215132:0.848023:0.200069:0.638545:0.200069:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuación de la recta tangente :@0.638545:0.230974:0.833773:0.230974:0.833773:0.215911:0.638545:0.215911:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a la gráfica de una curva en un :@0.638545:0.246816:0.839896:0.246816:0.839896:0.231753:0.638545:0.231753:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
punto asignado.:@0.638545:0.262658:0.742555:0.262658:0.742555:0.247595:0.638545:0.247595:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los primeros trabajos en esta :@0.638545:0.285629:0.828078:0.285629:0.828078:0.270566:0.638545:0.270566:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dirección fueron realizados por :@0.638545:0.301471:0.840619:0.301471:0.840619:0.286408:0.638545:0.286408:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Fermat, Newton, Leibniz entre :@0.638545:0.317313:0.834954:0.317313:0.834954:0.302250:0.638545:0.302250:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
otros, pero, fue Fermat quien :@0.638545:0.333155:0.826811:0.333155:0.826811:0.318092:0.638545:0.318092:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
obtuvo un método para hallar :@0.638545:0.348997:0.836363:0.348997:0.836363:0.333934:0.638545:0.333934:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la ecuación de la recta tangente :@0.638545:0.364839:0.845474:0.364839:0.845474:0.349776:0.638545:0.349776:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a una curva definida por una :@0.638545:0.380681:0.827444:0.380681:0.827444:0.365618:0.638545:0.365618:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
función polinomial mediante el :@0.638545:0.396523:0.843997:0.396523:0.843997:0.381460:0.638545:0.381460:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
análisis del cociente incremental.:@0.638545:0.412365:0.846581:0.412365:0.846581:0.397302:0.638545:0.397302:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Wikimedia Commons:@0.866230:0.528512:0.866230:0.467029:0.854762:0.467029:0.854762:0.528512:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000