167:@0.937671:0.974518:0.968375:0.974518:0.968375:0.956333:0.937671:0.956333:0.000000:0.000000:0.000000
Pensamiento espacial, numérico y variacional:@0.522009:0.043661:0.926913:0.043661:0.926913:0.024916:0.522009:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 5. :@0.073089:0.136836:0.156437:0.136836:0.156437:0.120167:0.073089:0.120167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Crecimiento de un tumor.:@0.156315:0.136836:0.343200:0.136836:0.343200:0.120402:0.156315:0.120402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El radio de un tumor crece a razón de 0,01:@0.073096:0.160620:0.377714:0.160620:0.377714:0.144186:0.073096:0.144186:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 mm día:@0.377386:0.160620:0.438241:0.160620:0.438241:0.144214:0.377386:0.144214:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
/:@0.409691:0.160620:0.416152:0.160620:0.416152:0.144186:0.409691:0.144186:0.000000
. El volumen del tumor está dado por :@0.438186:0.160620:0.710617:0.160620:0.710617:0.144186:0.438186:0.144186:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V = :@0.073114:0.182157:0.101296:0.182157:0.101296:0.165724:0.073114:0.165724:0.000000:0.000000:0.000000:0.000000
4:@0.107113:0.173800:0.116096:0.173800:0.116096:0.157366:0.107113:0.157366:0.000000
3:@0.107113:0.190192:0.116096:0.190192:0.116096:0.173758:0.107113:0.173758:0.000000
 :@0.121968:0.182163:0.125999:0.182163:0.125999:0.165729:0.121968:0.165729:0.000000
p:@0.125925:0.181608:0.138203:0.181608:0.138203:0.167892:0.125925:0.167892:0.000000
r:@0.138111:0.182163:0.143394:0.182163:0.143394:0.165756:0.138111:0.165756:0.000000
3:@0.143311:0.176097:0.148548:0.176097:0.148548:0.166516:0.143311:0.166516:0.000000
.:@0.148502:0.182161:0.151705:0.182161:0.151705:0.165727:0.148502:0.165727:0.000000
• :@0.104633:0.209524:0.113137:0.209524:0.113137:0.193091:0.104633:0.193091:0.000000:0.000000
¿A qué velocidad cambia el volumen cuando   = 5:@0.134834:0.209524:0.498764:0.209524:0.498764:0.193091:0.134834:0.193091:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.465760:0.209524:0.471042:0.209524:0.471042:0.193118:0.465760:0.193118:0.000000
 mm:@0.498653:0.209524:0.531050:0.209524:0.531050:0.193118:0.498653:0.193118:0.000000:0.000000:0.000000
?:@0.530995:0.209524:0.538008:0.209524:0.538008:0.193091:0.530995:0.193091:0.000000
Solución::@0.073059:0.234390:0.139484:0.234390:0.139484:0.217956:0.073059:0.217956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dV:@0.334782:0.251134:0.353079:0.251134:0.353079:0.234728:0.334782:0.234728:0.000000:0.000000
dt:@0.336659:0.267526:0.351220:0.267526:0.351220:0.251120:0.336659:0.251120:0.000000:0.000000
 = 4:@0.357386:0.258873:0.385181:0.258873:0.385181:0.242439:0.357386:0.242439:0.000000:0.000000:0.000000:0.000000
p:@0.385071:0.258318:0.397348:0.258318:0.397348:0.244602:0.385071:0.244602:0.000000
r:@0.397256:0.258873:0.402539:0.258873:0.402539:0.242466:0.397256:0.242466:0.000000
2:@0.402475:0.252802:0.407712:0.252802:0.407712:0.243221:0.402475:0.243221:0.000000
 :@0.407666:0.258866:0.411697:0.258866:0.411697:0.242432:0.407666:0.242432:0.000000
dr:@0.419546:0.251351:0.434014:0.251351:0.434014:0.234945:0.419546:0.234945:0.000000:0.000000
dt:@0.419490:0.267743:0.434051:0.267743:0.434051:0.251337:0.419490:0.251337:0.000000:0.000000
 .:@0.441855:0.258868:0.449016:0.258868:0.449016:0.242434:0.441855:0.242434:0.000000:0.000000
Sustituimos::@0.103199:0.286229:0.191351:0.286229:0.191351:0.269796:0.103199:0.269796:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dV:@0.271103:0.302978:0.289400:0.302978:0.289400:0.286572:0.271103:0.286572:0.000000:0.000000
dt:@0.272980:0.319371:0.287541:0.319371:0.287541:0.302965:0.272980:0.302965:0.000000:0.000000
 = 4 (5) (0.01) = 10π :@0.293707:0.310717:0.447019:0.310709:0.447019:0.294276:0.293707:0.294283:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.321391:0.310162:0.333669:0.310162:0.333669:0.296447:0.321391:0.296447:0.000000
2:@0.352076:0.304646:0.357313:0.304646:0.357313:0.295065:0.352076:0.295065:0.000000
mm:@0.446854:0.310709:0.476011:0.310709:0.476011:0.294303:0.446854:0.294303:0.000000:0.000000
3:@0.475954:0.304646:0.481191:0.304646:0.481191:0.295065:0.475954:0.295065:0.000000
/dí.a:@0.481143:0.310709:0.512730:0.310709:0.512730:0.294276:0.481143:0.294276:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 6. :@0.073091:0.345213:0.156439:0.345213:0.156439:0.328544:0.073091:0.328544:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Demanda y precio.:@0.156310:0.345213:0.292925:0.345213:0.292925:0.328780:0.156310:0.328780:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La demanda de un producto está dada por  ( ) = 500   5 , donde   es el precio.:@0.073091:0.368997:0.656662:0.368997:0.656662:0.352564:0.073091:0.352564:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D p:@0.388628:0.368997:0.414141:0.368997:0.414141:0.352591:0.388628:0.352591:0.000000:0.000000:0.000000
–:@0.468313:0.369580:0.477517:0.369580:0.477517:0.351926:0.468313:0.351926:0.000000
p:@0.490273:0.368997:0.499532:0.368997:0.499532:0.352591:0.490273:0.352591:0.000000
p:@0.558693:0.368997:0.567952:0.368997:0.567952:0.352591:0.558693:0.352591:0.000000
• :@0.104633:0.396373:0.113137:0.396373:0.113137:0.379939:0.104633:0.379939:0.000000:0.000000
Si el precio aumenta a razón de 2 dólares/hora, ¿a qué velocidad disminuye la :@0.134834:0.396373:0.710793:0.396373:0.710793:0.379939:0.134834:0.379939:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
demanda cuando   = 50?:@0.134760:0.413015:0.321060:0.413015:0.321060:0.396581:0.134760:0.396581:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.268231:0.413015:0.277490:0.413015:0.277490:0.396609:0.268231:0.396609:0.000000
Solución::@0.073078:0.437881:0.139502:0.437881:0.139502:0.421447:0.073078:0.421447:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dD:@0.340316:0.454625:0.361024:0.454625:0.361024:0.438219:0.340316:0.438219:0.000000:0.000000
dt:@0.343390:0.471017:0.357950:0.471017:0.357950:0.454611:0.343390:0.454611:0.000000:0.000000
 =  5 :@0.364116:0.462363:0.404962:0.462363:0.404962:0.445929:0.364116:0.445929:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.382910:0.462946:0.392114:0.462946:0.392114:0.445291:0.382910:0.445291:0.000000
dp:@0.410817:0.454840:0.429261:0.454840:0.429261:0.438434:0.410817:0.438434:0.000000:0.000000
dt:@0.412768:0.471232:0.427329:0.471232:0.427329:0.454826:0.412768:0.454826:0.000000:0.000000
 .:@0.435133:0.462357:0.442294:0.462357:0.442294:0.445923:0.435133:0.445923:0.000000:0.000000
Sustituimos :@0.103214:0.493089:0.192194:0.493089:0.192194:0.476655:0.103214:0.476655:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dp:@0.196334:0.486253:0.214778:0.486253:0.214778:0.469847:0.196334:0.469847:0.000000:0.000000
dt:@0.198285:0.502645:0.212846:0.502645:0.212846:0.486239:0.198285:0.486239:0.000000:0.000000
 = 2::@0.219012:0.493090:0.249936:0.493090:0.249936:0.476656:0.219012:0.476656:0.000000:0.000000:0.000000:0.000000:0.000000
dD:@0.268559:0.509839:0.289267:0.509839:0.289267:0.493433:0.268559:0.493433:0.000000:0.000000
dt:@0.271633:0.526231:0.286193:0.526231:0.286193:0.509825:0.271633:0.509825:0.000000:0.000000
 =  5 2  =  10 unidades/hora.:@0.292360:0.517577:0.514167:0.517577:0.514167:0.501144:0.292360:0.501144:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–  ( ):@0.311154:0.518160:0.354760:0.518160:0.354760:0.500506:0.311154:0.500506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.373462:0.518160:0.382666:0.518160:0.382666:0.500506:0.373462:0.500506:0.000000
Ejemplo 7. :@0.073111:0.552082:0.156459:0.552082:0.156459:0.535412:0.073111:0.535412:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Valor presente neto.:@0.156330:0.552082:0.300809:0.552082:0.300809:0.535648:0.156330:0.535648:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El valor presente de una inversión es   = :@0.073111:0.582134:0.368087:0.582134:0.368087:0.565700:0.073111:0.565700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V:@0.340164:0.582134:0.349275:0.582134:0.349275:0.565728:0.340164:0.565728:0.000000
C:@0.392475:0.572405:0.402378:0.572405:0.402378:0.555999:0.392475:0.555999:0.000000
(1+ ):@0.378467:0.588797:0.413147:0.588797:0.413147:0.572363:0.378467:0.572363:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.403059:0.588797:0.408342:0.588797:0.408342:0.572391:0.403059:0.572391:0.000000
t:@0.413070:0.582730:0.416386:0.582730:0.416386:0.573150:0.413070:0.573150:0.000000
 .:@0.426801:0.582128:0.433962:0.582128:0.433962:0.565694:0.426801:0.565694:0.000000:0.000000
• :@0.104633:0.609491:0.113137:0.609491:0.113137:0.593057:0.104633:0.593057:0.000000:0.000000
Si la tasa de interés aumenta a 0,01%/año, ¿a qué velocidad cambia el valor :@0.134834:0.609491:0.710202:0.609491:0.710202:0.593057:0.134834:0.593057:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
presente para   = 1000,   = 0,05 y   = 10?:@0.134760:0.626133:0.428485:0.626133:0.428485:0.609699:0.134760:0.609699:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
C:@0.238485:0.626133:0.248388:0.626133:0.248388:0.609727:0.238485:0.609727:0.000000
r:@0.309795:0.626133:0.315078:0.626133:0.315078:0.609727:0.309795:0.609727:0.000000
t:@0.379540:0.626133:0.384915:0.626133:0.384915:0.609727:0.379540:0.609727:0.000000
Solución::@0.073078:0.650998:0.139502:0.650998:0.139502:0.634564:0.073078:0.634564:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dV:@0.322752:0.668842:0.341049:0.668842:0.341049:0.652436:0.322752:0.652436:0.000000:0.000000
dt:@0.324629:0.685234:0.339190:0.685234:0.339190:0.668828:0.324629:0.668828:0.000000:0.000000
 = :@0.345356:0.677468:0.364242:0.677468:0.364242:0.661034:0.345356:0.661034:0.000000:0.000000:0.000000
C   t:@0.380490:0.667744:0.406702:0.667744:0.406702:0.651337:0.380490:0.651337:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.393578:0.664803:0.398180:0.664803:0.398180:0.647815:0.393578:0.647815:0.000000
(1:@0.366703:0.684136:0.380490:0.684136:0.380490:0.667702:0.366703:0.667702:0.000000:0.000000
2:@0.380398:0.683581:0.395732:0.683581:0.395732:0.669865:0.380398:0.669865:0.000000
r:@0.395640:0.684136:0.400923:0.684136:0.400923:0.667730:0.395640:0.667730:0.000000
):@0.400849:0.684136:0.405727:0.684136:0.405727:0.667702:0.400849:0.667702:0.000000
t+1:@0.405648:0.678069:0.420511:0.678069:0.420511:0.668488:0.405648:0.668488:0.000000:0.000000:0.000000
  :@0.422974:0.677466:0.430963:0.677466:0.430963:0.661033:0.422974:0.661033:0.000000:0.000000
dr:@0.437165:0.667948:0.451633:0.667948:0.451633:0.651542:0.437165:0.651542:0.000000:0.000000
dt:@0.437110:0.684340:0.451670:0.684340:0.451670:0.667934:0.437110:0.667934:0.000000:0.000000
.:@0.457836:0.677475:0.461039:0.677475:0.461039:0.661041:0.457836:0.661041:0.000000
Sustituimos::@0.103202:0.704837:0.191354:0.704837:0.191354:0.688403:0.103202:0.688403:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dV:@0.220239:0.721579:0.238535:0.721579:0.238535:0.705173:0.220239:0.705173:0.000000:0.000000
dt:@0.222116:0.737971:0.236676:0.737971:0.236676:0.721565:0.222116:0.721565:0.000000:0.000000
   :@0.242843:0.730205:0.266073:0.730205:0.266073:0.713771:0.242843:0.713771:0.000000:0.000000:0.000000
2:@0.246800:0.729650:0.262134:0.729650:0.262134:0.715934:0.246800:0.715934:0.000000
1000 10:@0.274384:0.723356:0.338865:0.723356:0.338865:0.706922:0.274384:0.706922:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   :@0.309984:0.723356:0.321047:0.723356:0.321047:0.706950:0.309984:0.706950:0.000000:0.000000:0.000000
.:@0.313224:0.720416:0.317826:0.720416:0.317826:0.703428:0.313224:0.703428:0.000000
(1.05):@0.281692:0.739748:0.321231:0.739748:0.321231:0.723315:0.281692:0.723315:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
11:@0.321132:0.733682:0.331563:0.733682:0.331563:0.724101:0.321132:0.724101:0.000000:0.000000
  (0.0001) =  7,61 dólares/año.:@0.347207:0.730203:0.563661:0.730203:0.563661:0.713770:0.347207:0.713770:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.431125:0.730786:0.440329:0.730786:0.440329:0.713132:0.431125:0.713132:0.000000
Conclusión:@0.101746:0.815784:0.186526:0.815784:0.186526:0.799114:0.101746:0.799114:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las razones relacionadas nos permiten modelar la manera en la que cambian varias variables interdependientes :@0.101746:0.836004:0.902394:0.836004:0.902394:0.819570:0.101746:0.819570:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con el tiempo o con alguna otra variable. La clave está en:@0.101746:0.852646:0.509905:0.852646:0.509905:0.836212:0.101746:0.836212:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 diferenciar implícitamente:@0.510019:0.852646:0.712195:0.852646:0.712195:0.835976:0.510019:0.835976:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 para encontrar relaciones :@0.712241:0.852646:0.902189:0.852646:0.902189:0.836212:0.712241:0.836212:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entre las :@0.101746:0.869287:0.165676:0.869287:0.165676:0.852854:0.101746:0.852854:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tasas de cambio:@0.165106:0.869287:0.285195:0.869287:0.285195:0.852618:0.165106:0.852618:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 de las variables. Además, este concepto es especialmente útil para resolver problemas :@0.285119:0.869287:0.902241:0.869287:0.902241:0.852854:0.285119:0.852854:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dinámicos en física, geometría y economía.:@0.101746:0.885929:0.414055:0.885929:0.414055:0.869495:0.101746:0.869495:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las razones relacionadas :@0.740548:0.190969:0.906085:0.190969:0.906085:0.176029:0.740548:0.176029:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nos permiten analizar :@0.740548:0.204837:0.886553:0.204837:0.886553:0.189897:0.740548:0.189897:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cómo cambian variables :@0.740548:0.218705:0.905621:0.218705:0.905621:0.203765:0.740548:0.203765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como el ritmo cardiaco :@0.740548:0.232573:0.897130:0.232573:0.897130:0.217634:0.740548:0.217634:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o el metabolismo en :@0.740548:0.246442:0.880276:0.246442:0.880276:0.231502:0.740548:0.231502:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
función del esfuerzo :@0.740548:0.260310:0.878455:0.260310:0.878455:0.245370:0.740548:0.245370:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
físico, ayudándonos a :@0.740548:0.274178:0.885917:0.274178:0.885917:0.259238:0.740548:0.259238:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entender cómo optimizar :@0.740548:0.288046:0.913720:0.288046:0.913720:0.273106:0.740548:0.273106:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una rutina de ejercicio :@0.740548:0.301914:0.890845:0.301914:0.890845:0.286975:0.740548:0.286975:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para mejorar el bienestar. :@0.740548:0.315783:0.910373:0.315783:0.910373:0.300843:0.740548:0.300843:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Esto se complementa :@0.740548:0.329651:0.887229:0.329651:0.887229:0.314711:0.740548:0.314711:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bien con la optimización :@0.740548:0.343519:0.907150:0.343519:0.907150:0.328579:0.740548:0.328579:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de rutinas de ejercicio :@0.740548:0.357387:0.888854:0.357387:0.888854:0.342447:0.740548:0.342447:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mediante derivadas, :@0.740548:0.371255:0.877428:0.371255:0.877428:0.356316:0.740548:0.356316:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
donde podemos aplicar :@0.740548:0.385124:0.902482:0.385124:0.902482:0.370184:0.740548:0.370184:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conceptos matemáticos :@0.740548:0.398992:0.903958:0.398992:0.903958:0.384052:0.740548:0.384052:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para personalizar el :@0.740548:0.412860:0.871624:0.412860:0.871624:0.397920:0.740548:0.397920:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entrenamiento de los :@0.740548:0.426728:0.886121:0.426728:0.886121:0.411788:0.740548:0.411788:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
deportistas. :@0.740548:0.440596:0.820841:0.440596:0.820841:0.425657:0.740548:0.425657:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Analizar datos de salud y :@0.740548:0.579278:0.906809:0.579278:0.906809:0.564338:0.740548:0.564338:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
crear modelos nos ayuda :@0.740548:0.593146:0.909664:0.593146:0.909664:0.578207:0.740548:0.578207:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a entender mejor cómo :@0.740548:0.607015:0.901071:0.607015:0.901071:0.592075:0.740548:0.592075:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
funciona nuestro cuerpo :@0.740548:0.620883:0.907413:0.620883:0.907413:0.605943:0.740548:0.605943:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y nuestra mente y nos :@0.740548:0.634751:0.890259:0.634751:0.890259:0.619811:0.740548:0.619811:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
permite diseñar programas :@0.740548:0.648619:0.923098:0.648619:0.923098:0.633679:0.740548:0.633679:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de bienestar más :@0.740548:0.662487:0.857183:0.662487:0.857183:0.647548:0.740548:0.647548:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
personalizados y efectivos :@0.740548:0.676356:0.916118:0.676356:0.916118:0.661416:0.740548:0.661416:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
basados en evidencia :@0.740548:0.690224:0.886260:0.690224:0.886260:0.675284:0.740548:0.675284:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
científica.:@0.740548:0.704092:0.802447:0.704092:0.802447:0.689152:0.740548:0.689152:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cátedra :@0.740294:0.139171:0.799873:0.139171:0.799873:0.123765:0.740294:0.123765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de salud y :@0.740294:0.154300:0.815830:0.154300:0.815830:0.138894:0.740294:0.138894:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bienestar:@0.740294:0.169429:0.807982:0.169429:0.807982:0.154023:0.740294:0.154023:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000