82:@0.067867:0.963104:0.095634:0.963104:0.095634:0.941283:0.067867:0.941283:0.000000:0.000000
Matemática:@0.120102:0.956142:0.204868:0.956142:0.204868:0.943479:0.120102:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3.º BG:@0.120102:0.967458:0.162238:0.967458:0.162238:0.954794:0.120102:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
isposición y compromiso:@0.306727:0.140863:0.485691:0.140863:0.485691:0.125499:0.306727:0.125499:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D:@0.284763:0.141649:0.297589:0.141649:0.297589:0.124513:0.284763:0.124513:0.000000
¿Qué es la derivada?:@0.108907:0.192000:0.244164:0.192000:0.244164:0.177101:0.108907:0.177101:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Saberes previos:@0.108521:0.163125:0.227756:0.163125:0.227756:0.146224:0.108521:0.146224:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Reglas básicas de derivación de expresiones algebráicas:@0.287495:0.363682:0.852595:0.363682:0.852595:0.342172:0.287495:0.342172:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La derivada de una función se puede obtener utilizando reglas de derivación. Estas :@0.287495:0.386463:0.907619:0.386463:0.907619:0.370074:0.287495:0.370074:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nos ayudan a simplificar el proceso de derivación, ahorrar tiempo al derivar y dismi-:@0.287495:0.403059:0.903566:0.403059:0.903566:0.386670:0.287495:0.386670:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.438582:0.403059:0.442617:0.403059:0.442617:0.386670:0.438582:0.386670:0.000000
nuir el riesgo de equivocarnos cuando se trata de funciones largas.:@0.287495:0.419656:0.775198:0.419656:0.775198:0.403267:0.287495:0.403267:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nidad de conocimientos:@0.306727:0.332554:0.480398:0.332554:0.480398:0.317189:0.306727:0.317189:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
U:@0.284892:0.333339:0.297460:0.333339:0.297460:0.316204:0.284892:0.316204:0.000000
Pienso y progreso:@0.294883:0.273961:0.417347:0.273961:0.417347:0.258597:0.294883:0.258597:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Por qué las empresas deben saber cuáles son los costos de producción de un artículo?:@0.294883:0.291354:0.875897:0.291354:0.875897:0.276455:0.294883:0.276455:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una empresa agrícola produce paquetes de fertilizantes orgánicos. El costo total de :@0.287495:0.168345:0.907637:0.168345:0.907637:0.151956:0.287495:0.151956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
producción en dólares, en función del número de sacos producidos  , viene dado :@0.287495:0.184941:0.907733:0.184941:0.907733:0.168553:0.287495:0.168553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.803561:0.184941:0.811025:0.184941:0.811025:0.168580:0.803561:0.168580:0.000000
por:  () 05:@0.287495:0.201538:0.393809:0.202111:0.393809:0.185722:0.287495:0.185149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cx:@0.322992:0.202111:0.348054:0.202111:0.348054:0.185750:0.322992:0.185750:0.000000:0.000000
x:@0.394344:0.202111:0.401807:0.202111:0.401807:0.185750:0.394344:0.185750:0.000000
x:@0.435493:0.202111:0.442956:0.202111:0.442956:0.185750:0.435493:0.185750:0.000000
x:@0.485284:0.202111:0.492747:0.202111:0.492747:0.185750:0.485284:0.185750:0.000000
,:@0.379952:0.202111:0.383158:0.202111:0.383158:0.185722:0.379952:0.185722:0.000000
=:@0.357710:0.201696:0.367827:0.201696:0.367827:0.184754:0.357710:0.184754:0.000000
−:@0.413306:0.201696:0.423423:0.201696:0.423423:0.184754:0.413306:0.184754:0.000000
+:@0.454455:0.201696:0.464572:0.201696:0.464572:0.184754:0.454455:0.184754:0.000000
+:@0.496857:0.201696:0.506974:0.201696:0.506974:0.184754:0.496857:0.184754:0.000000
3:@0.425708:0.202111:0.434700:0.202111:0.434700:0.185722:0.425708:0.185722:0.000000
10:@0.466027:0.202111:0.483902:0.202111:0.483902:0.185722:0.466027:0.185722:0.000000:0.000000
100:@0.508411:0.202111:0.535205:0.202111:0.535205:0.185722:0.508411:0.185722:0.000000:0.000000:0.000000
3:@0.403404:0.194450:0.408615:0.194450:0.408615:0.184952:0.403404:0.184952:0.000000
2:@0.444552:0.194450:0.449764:0.194450:0.449764:0.184952:0.444552:0.184952:0.000000
¿Cuál es el costo de producir un saco adicional para tomar decisiones sobre cuánto :@0.287495:0.225262:0.907733:0.225262:0.907733:0.208873:0.287495:0.208873:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
producir eficientemente?:@0.287495:0.241858:0.472765:0.241858:0.472765:0.225469:0.287495:0.225469:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.367451:0.241858:0.371487:0.241858:0.371487:0.225469:0.367451:0.225469:0.000000
Reglas de derivación :@0.286308:0.060073:0.597993:0.060073:0.597993:0.026520:0.286308:0.026520:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de expresiones algebraicas:@0.286308:0.090250:0.684160:0.090250:0.684160:0.056698:0.286308:0.056698:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.094760:0.108603:0.183816:0.108603:0.183816:0.011514:0.094760:0.011514:0.000000:0.000000
En ocasiones, en la vida :@0.087322:0.532531:0.247239:0.532531:0.247239:0.517632:0.087322:0.517632:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nos enfrentamos a :@0.119470:0.546361:0.247239:0.546361:0.247239:0.531462:0.119470:0.531462:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
problemas que requieren :@0.074372:0.560192:0.247239:0.560192:0.247239:0.545293:0.074372:0.545293:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un mejor modo de :@0.117510:0.574022:0.247240:0.574022:0.247240:0.559123:0.117510:0.559123:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
realizar las cosas. Por :@0.107274:0.587852:0.247239:0.587852:0.247239:0.572953:0.107274:0.572953:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ejemplo, un agricultor :@0.096486:0.601683:0.247237:0.601683:0.247237:0.586784:0.096486:0.586784:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
siempre trata de escoger :@0.078158:0.615513:0.247239:0.615513:0.247239:0.600614:0.078158:0.600614:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la mejor mezcla de :@0.117795:0.629343:0.247239:0.629343:0.247239:0.614444:0.117795:0.614444:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cultivos de tal manera :@0.096804:0.643174:0.247240:0.643174:0.247240:0.628275:0.096804:0.628275:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que sea la más apropiada :@0.074490:0.657004:0.247239:0.657004:0.247239:0.642105:0.074490:0.642105:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para aprovechar el suelo. :@0.078125:0.670834:0.247239:0.670834:0.247239:0.655935:0.078125:0.655935:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Algunas veces un :@0.126740:0.684665:0.247239:0.684665:0.247239:0.669765:0.126740:0.669765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
problema de esta :@0.126673:0.698495:0.247240:0.698495:0.247240:0.683596:0.126673:0.683596:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
naturaleza implica el uso :@0.078996:0.712325:0.247240:0.712325:0.247240:0.697426:0.078996:0.697426:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la derivada para:@0.117074:0.726155:0.243570:0.726155:0.243570:0.711256:0.117074:0.711256:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
su solución.:@0.165371:0.739986:0.243572:0.739986:0.243572:0.725087:0.165371:0.725087:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     Socioemocional:@0.098997:0.500090:0.237769:0.500090:0.237769:0.483190:0.098997:0.483190:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©Ministerio de Agricultura y :@0.056694:0.849807:0.056694:0.764012:0.044783:0.764012:0.044783:0.849807:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ganaderia Ecuador. www.fl  irck.com:@0.068424:0.849807:0.068424:0.743743:0.056513:0.743743:0.056513:0.849807:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Nombre:@0.329624:0.448740:0.388861:0.448740:0.388861:0.433375:0.329624:0.433375:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Regla:@0.544306:0.448740:0.584948:0.448740:0.584948:0.433375:0.544306:0.433375:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplos:@0.767633:0.448740:0.834123:0.448740:0.834123:0.433375:0.767633:0.433375:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Derivada de:@0.292769:0.469498:0.373197:0.469498:0.373197:0.454599:0.292769:0.454599:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una constante:@0.292769:0.484585:0.388491:0.484585:0.388491:0.469686:0.292769:0.469686:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea   una constante, :@0.435231:0.476689:0.573506:0.476689:0.573506:0.461790:0.435231:0.461790:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.461901:0.476689:0.468870:0.476689:0.468870:0.461815:0.461901:0.461815:0.000000
fx:@0.573925:0.477173:0.596563:0.477173:0.596563:0.462448:0.573925:0.462448:0.000000:0.000000
cf x:@0.619109:0.477173:0.662064:0.477173:0.662064:0.462448:0.619109:0.462448:0.000000:0.000000:0.000000:0.000000
():@0.582217:0.478375:0.604275:0.478375:0.604275:0.458888:0.582217:0.458888:0.000000:0.000000
=:@0.607143:0.476800:0.616248:0.476800:0.616248:0.461552:0.607143:0.461552:0.000000
′:@0.642526:0.476058:0.646622:0.476058:0.646622:0.460810:0.642526:0.460810:0.000000
():@0.647709:0.478375:0.669767:0.478375:0.669767:0.458888:0.647709:0.458888:0.000000:0.000000
=:@0.672633:0.476800:0.681738:0.476800:0.681738:0.461552:0.672633:0.461552:0.000000
; :@0.626875:0.477173:0.635649:0.477173:0.635649:0.462423:0.626875:0.462423:0.000000:0.000000
0:@0.684359:0.477173:0.692452:0.477173:0.692452:0.462423:0.684359:0.462423:0.000000
Derivada de:@0.292761:0.503228:0.373189:0.503228:0.373189:0.488329:0.292761:0.488329:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una potencia:@0.292761:0.518316:0.380826:0.518316:0.380826:0.503417:0.292761:0.503417:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea :@0.435223:0.500148:0.462479:0.500148:0.462479:0.485249:0.435223:0.485249:0.000000:0.000000:0.000000:0.000000
n:@0.464930:0.499874:0.473488:0.499874:0.473488:0.485933:0.464930:0.485933:0.000000
f x:@0.521700:0.499874:0.544355:0.499874:0.544355:0.485933:0.521700:0.485933:0.000000:0.000000:0.000000
x:@0.566811:0.499874:0.573528:0.499874:0.573528:0.485933:0.566811:0.485933:0.000000
n:@0.575101:0.493355:0.580060:0.493355:0.580060:0.485275:0.575101:0.485275:0.000000
∈:@0.474318:0.499521:0.486143:0.499521:0.486143:0.485084:0.474318:0.485084:0.000000
():@0.530010:0.501021:0.552068:0.501021:0.552068:0.482571:0.530010:0.482571:0.000000:0.000000
=:@0.554369:0.499521:0.563475:0.499521:0.563475:0.485084:0.554369:0.485084:0.000000
+:@0.499102:0.493150:0.504378:0.493150:0.504378:0.484783:0.499102:0.484783:0.000000
:@0.487311:0.500617:0.498373:0.500617:0.498373:0.486345:0.487311:0.486345:0.000000
 y :@0.507213:0.499874:0.521725:0.499874:0.521725:0.485909:0.507213:0.485909:0.000000:0.000000:0.000000
′:@0.444362:0.516814:0.448458:0.516814:0.448458:0.501566:0.444362:0.501566:0.000000
():@0.449545:0.519130:0.471603:0.519130:0.471603:0.499643:0.449545:0.499643:0.000000:0.000000
=:@0.474469:0.517557:0.483574:0.517557:0.483574:0.502309:0.474469:0.502309:0.000000
−:@0.508582:0.510818:0.513859:0.510818:0.513859:0.501981:0.508582:0.501981:0.000000
fx:@0.437483:0.517930:0.463903:0.517930:0.463903:0.503205:0.437483:0.503205:0.000000:0.000000
nx:@0.486442:0.517930:0.501683:0.517930:0.501683:0.503205:0.486442:0.503205:0.000000:0.000000
n:@0.503256:0.511034:0.508216:0.511034:0.508216:0.502500:0.503256:0.502500:0.000000
1:@0.513618:0.511034:0.518308:0.511034:0.518308:0.502486:0.513618:0.502486:0.000000
Derivada del :@0.292761:0.536966:0.380409:0.536966:0.380409:0.522067:0.292761:0.522067:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
producto de una :@0.292761:0.552053:0.409056:0.552053:0.409056:0.537154:0.292761:0.537154:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
constante por:@0.292761:0.567141:0.386103:0.567141:0.386103:0.552242:0.292761:0.552242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una función:@0.292761:0.582228:0.373038:0.582228:0.373038:0.567329:0.292761:0.567329:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea   una constante::@0.435223:0.536966:0.571755:0.536966:0.571755:0.522067:0.435223:0.522067:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.462479:0.536966:0.469448:0.536966:0.469448:0.522092:0.462479:0.522092:0.000000
gx:@0.438237:0.552085:0.462434:0.552085:0.462434:0.537360:0.438237:0.537360:0.000000:0.000000
cf x:@0.484973:0.552085:0.514594:0.552085:0.514594:0.537360:0.484973:0.537360:0.000000:0.000000:0.000000:0.000000
gx:@0.438237:0.572809:0.466199:0.572809:0.466199:0.558084:0.438237:0.558084:0.000000:0.000000
cf x:@0.488738:0.572809:0.522123:0.572809:0.522123:0.558084:0.488738:0.558084:0.000000:0.000000:0.000000:0.000000
():@0.448084:0.553285:0.470142:0.553285:0.470142:0.533798:0.448084:0.533798:0.000000:0.000000
=:@0.473008:0.551711:0.482113:0.551711:0.482113:0.536463:0.473008:0.536463:0.000000
():@0.500241:0.553285:0.522299:0.553285:0.522299:0.533798:0.500241:0.533798:0.000000:0.000000
′:@0.446670:0.571690:0.450766:0.571690:0.450766:0.556442:0.446670:0.556442:0.000000
():@0.451853:0.574008:0.473911:0.574008:0.473911:0.554521:0.451853:0.554521:0.000000:0.000000
=:@0.476777:0.572433:0.485883:0.572433:0.485883:0.557185:0.476777:0.557185:0.000000
′:@0.502600:0.571686:0.506697:0.571686:0.506697:0.556438:0.502600:0.556438:0.000000
():@0.507779:0.574008:0.529837:0.574008:0.529837:0.554521:0.507779:0.554521:0.000000:0.000000
Derivada de la :@0.292761:0.605271:0.391684:0.605271:0.391684:0.590372:0.292761:0.590372:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
suma o diferencia :@0.292761:0.620359:0.414465:0.620359:0.414465:0.605460:0.292761:0.605460:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de funciones:@0.292761:0.635446:0.379170:0.635446:0.379170:0.620547:0.292761:0.620547:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean  ,   dos funciones y   definida por::@0.435223:0.598783:0.694046:0.598783:0.694046:0.583884:0.435223:0.583884:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f g:@0.470788:0.598783:0.489400:0.598783:0.489400:0.583909:0.470788:0.583909:0.000000:0.000000:0.000000
h:@0.598542:0.598783:0.607186:0.598783:0.607186:0.583909:0.598542:0.583909:0.000000
 :@0.631476:0.598783:0.635145:0.598783:0.635145:0.583884:0.631476:0.583884:0.000000
hx:@0.437719:0.615331:0.461635:0.615331:0.461635:0.600606:0.437719:0.600606:0.000000:0.000000
fx:@0.483941:0.615331:0.506580:0.615331:0.506580:0.600606:0.483941:0.600606:0.000000:0.000000
gx:@0.528803:0.615331:0.553001:0.615331:0.553001:0.600606:0.528803:0.600606:0.000000:0.000000
hx:@0.437719:0.636052:0.465399:0.636052:0.465399:0.621327:0.437719:0.621327:0.000000:0.000000
fx:@0.487706:0.636052:0.514126:0.636052:0.514126:0.621327:0.487706:0.621327:0.000000:0.000000
gx:@0.536332:0.636052:0.564294:0.636052:0.564294:0.621327:0.536332:0.621327:0.000000:0.000000
():@0.447283:0.616532:0.469341:0.616532:0.469341:0.597045:0.447283:0.597045:0.000000:0.000000
=:@0.472207:0.614957:0.481312:0.614957:0.481312:0.599709:0.472207:0.599709:0.000000
():@0.492231:0.616532:0.514289:0.616532:0.514289:0.597045:0.492231:0.597045:0.000000:0.000000
±:@0.516591:0.614957:0.525696:0.614957:0.525696:0.599709:0.516591:0.599709:0.000000
():@0.538641:0.616532:0.560699:0.616532:0.560699:0.597045:0.538641:0.597045:0.000000:0.000000
′:@0.445869:0.634936:0.449966:0.634936:0.449966:0.619688:0.445869:0.619688:0.000000
():@0.451052:0.637254:0.473110:0.637254:0.473110:0.617767:0.451052:0.617767:0.000000:0.000000
= ′:@0.475977:0.635679:0.498681:0.634932:0.498681:0.619684:0.475977:0.620431:0.000000:0.000000:0.000000
():@0.499770:0.637254:0.521828:0.637254:0.521828:0.617767:0.499770:0.617767:0.000000:0.000000
± ′:@0.524130:0.635679:0.548858:0.634932:0.548858:0.619684:0.524130:0.620431:0.000000:0.000000:0.000000
():@0.549949:0.637254:0.572006:0.637254:0.572006:0.617767:0.549949:0.617767:0.000000:0.000000
Derivada:@0.292761:0.670761:0.352282:0.670761:0.352282:0.655862:0.292761:0.655862:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del producto de :@0.292761:0.685849:0.404363:0.685849:0.404363:0.670950:0.292761:0.670950:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dos funciones:@0.292761:0.700937:0.386206:0.700937:0.386206:0.686037:0.292761:0.686037:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean  ,   dos funciones y   definida por::@0.435223:0.658490:0.694046:0.658490:0.694046:0.643591:0.435223:0.643591:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f g:@0.470788:0.658490:0.489400:0.658490:0.489400:0.643616:0.470788:0.643616:0.000000:0.000000:0.000000
h:@0.598542:0.658490:0.607186:0.658490:0.607186:0.643616:0.598542:0.643616:0.000000
 :@0.631476:0.658490:0.635145:0.658490:0.635145:0.643591:0.631476:0.643591:0.000000
hx:@0.437719:0.673607:0.461635:0.673607:0.461635:0.658881:0.437719:0.658881:0.000000:0.000000
fx gx:@0.483941:0.673607:0.546201:0.673607:0.546201:0.658881:0.483941:0.658881:0.000000:0.000000:0.000000:0.000000:0.000000
hx:@0.437719:0.694331:0.465399:0.694331:0.465399:0.679606:0.437719:0.679606:0.000000:0.000000
fx gx:@0.487706:0.694331:0.553730:0.694331:0.553730:0.679606:0.487706:0.679606:0.000000:0.000000:0.000000:0.000000:0.000000
gx fx:@0.575954:0.694331:0.641247:0.694328:0.641247:0.679603:0.575954:0.679606:0.000000:0.000000:0.000000:0.000000:0.000000
():@0.447283:0.674808:0.469341:0.674808:0.469341:0.655321:0.447283:0.655321:0.000000:0.000000
=:@0.472207:0.673233:0.481312:0.673233:0.481312:0.657985:0.472207:0.657985:0.000000
() ():@0.492231:0.674808:0.553914:0.674808:0.553914:0.655321:0.492231:0.655321:0.000000:0.000000:0.000000:0.000000:0.000000
⋅:@0.515790:0.673233:0.519937:0.673233:0.519937:0.657985:0.515790:0.657985:0.000000
′:@0.445869:0.693213:0.449966:0.693213:0.449966:0.677965:0.445869:0.677965:0.000000
():@0.451052:0.695529:0.473110:0.695529:0.473110:0.676043:0.451052:0.676043:0.000000:0.000000
=:@0.475977:0.693955:0.485082:0.693955:0.485082:0.678707:0.475977:0.678707:0.000000
():@0.496001:0.695529:0.518059:0.695529:0.518059:0.676043:0.496001:0.676043:0.000000:0.000000
⋅ ′:@0.519560:0.693955:0.538317:0.693208:0.538317:0.677960:0.519560:0.678707:0.000000:0.000000:0.000000
():@0.539395:0.695529:0.561452:0.695529:0.561452:0.676043:0.539395:0.676043:0.000000:0.000000
+:@0.563754:0.693955:0.572859:0.693955:0.572859:0.678707:0.563754:0.678707:0.000000
() ():@0.585804:0.695529:0.648947:0.695529:0.648947:0.676043:0.585804:0.676043:0.000000:0.000000:0.000000:0.000000:0.000000
⋅ ′:@0.609363:0.693955:0.625798:0.693208:0.625798:0.677960:0.609363:0.678707:0.000000:0.000000:0.000000
Derivada:@0.292761:0.765207:0.352282:0.765207:0.352282:0.750308:0.292761:0.750308:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del cociente de:@0.292761:0.780295:0.395786:0.780295:0.395786:0.765396:0.292761:0.765396:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dos funciones:@0.292761:0.795382:0.386206:0.795382:0.386206:0.780483:0.292761:0.780483:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean  ,   dos funciones y   definida por::@0.435223:0.729764:0.694046:0.729764:0.694046:0.714865:0.435223:0.714865:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f g:@0.470788:0.729764:0.489400:0.729764:0.489400:0.714890:0.470788:0.714890:0.000000:0.000000:0.000000
h:@0.598542:0.729764:0.607186:0.729764:0.607186:0.714890:0.598542:0.714890:0.000000
 :@0.631476:0.729764:0.635145:0.729764:0.635145:0.714865:0.631476:0.714865:0.000000
hx:@0.437719:0.754494:0.461635:0.754494:0.461635:0.739769:0.437719:0.739769:0.000000:0.000000
fx:@0.486396:0.745544:0.509034:0.745544:0.509034:0.730819:0.486396:0.730819:0.000000:0.000000
gx:@0.486014:0.764252:0.510212:0.764252:0.510212:0.749527:0.486014:0.749527:0.000000:0.000000
gx:@0.529450:0.754494:0.553647:0.754494:0.553647:0.739769:0.529450:0.739769:0.000000:0.000000
hx:@0.437719:0.793927:0.465399:0.793927:0.465399:0.779202:0.437719:0.779202:0.000000:0.000000
gx fx:@0.489779:0.784977:0.555074:0.784977:0.555074:0.770252:0.489779:0.770252:0.000000:0.000000:0.000000:0.000000:0.000000
fx gx:@0.576236:0.784977:0.642272:0.784976:0.642272:0.770251:0.576236:0.770252:0.000000:0.000000:0.000000:0.000000:0.000000
gx:@0.550468:0.806228:0.574665:0.806228:0.574665:0.791503:0.550468:0.791503:0.000000:0.000000
():@0.447283:0.755695:0.469341:0.755695:0.469341:0.736208:0.447283:0.736208:0.000000:0.000000
=:@0.472207:0.754120:0.481312:0.754120:0.481312:0.738872:0.472207:0.738872:0.000000
():@0.494682:0.746748:0.516740:0.746748:0.516740:0.727261:0.494682:0.727261:0.000000:0.000000
():@0.495860:0.765454:0.517918:0.765454:0.517918:0.745967:0.495860:0.745967:0.000000:0.000000
():@0.539296:0.755687:0.561354:0.755687:0.561354:0.736200:0.539296:0.736200:0.000000:0.000000
≠:@0.564225:0.754120:0.573330:0.754120:0.573330:0.738872:0.564225:0.738872:0.000000
′:@0.445875:0.792806:0.449972:0.792806:0.449972:0.777559:0.445875:0.777559:0.000000
():@0.451052:0.795123:0.473110:0.795123:0.473110:0.775636:0.451052:0.775636:0.000000:0.000000
=:@0.475977:0.793548:0.485082:0.793548:0.485082:0.778300:0.475977:0.778300:0.000000
() ():@0.499629:0.786176:0.562772:0.786176:0.562772:0.766689:0.499629:0.766689:0.000000:0.000000:0.000000:0.000000:0.000000
⋅ ′:@0.523187:0.784602:0.539622:0.783856:0.539622:0.768608:0.523187:0.769354:0.000000:0.000000:0.000000
−:@0.565073:0.784602:0.574178:0.784602:0.574178:0.769354:0.565073:0.769354:0.000000
():@0.584532:0.786176:0.606590:0.786176:0.606590:0.766689:0.584532:0.766689:0.000000:0.000000
⋅ ′:@0.608091:0.784602:0.626849:0.783856:0.626849:0.768608:0.608091:0.769354:0.000000:0.000000:0.000000
():@0.627926:0.786176:0.649984:0.786176:0.649984:0.766689:0.627926:0.766689:0.000000:0.000000
():@0.560315:0.807429:0.582373:0.807429:0.582373:0.787942:0.560315:0.787942:0.000000:0.000000
:@0.543117:0.805960:0.549485:0.805960:0.549485:0.790712:0.543117:0.790712:0.000000
:@0.543117:0.810030:0.549485:0.810030:0.549485:0.794782:0.543117:0.794782:0.000000
:@0.582937:0.805960:0.589306:0.805960:0.589306:0.790712:0.582937:0.790712:0.000000
:@0.582937:0.810030:0.589306:0.810030:0.589306:0.794782:0.582937:0.794782:0.000000
; :@0.520694:0.754503:0.529468:0.754503:0.529468:0.739753:0.520694:0.739753:0.000000:0.000000
0:@0.576237:0.754503:0.584330:0.754503:0.584330:0.739753:0.576237:0.739753:0.000000
2:@0.590045:0.796609:0.594736:0.796609:0.594736:0.788060:0.590045:0.788060:0.000000
fx:@0.705850:0.476616:0.728488:0.476616:0.728488:0.461891:0.705850:0.461891:0.000000:0.000000
fx:@0.705850:0.497338:0.732269:0.497338:0.732269:0.482613:0.705850:0.482613:0.000000:0.000000
():@0.714142:0.477818:0.736200:0.477818:0.736200:0.458331:0.714142:0.458331:0.000000:0.000000
=:@0.739068:0.476243:0.748173:0.476243:0.748173:0.460995:0.739068:0.460995:0.000000
′:@0.712731:0.496221:0.716828:0.496221:0.716828:0.480973:0.712731:0.480973:0.000000
():@0.717911:0.498539:0.739969:0.498539:0.739969:0.479052:0.717911:0.479052:0.000000:0.000000
=:@0.742837:0.496965:0.751942:0.496965:0.751942:0.481717:0.742837:0.481717:0.000000
9:@0.750800:0.476616:0.758893:0.476616:0.758893:0.461866:0.750800:0.461866:0.000000
0:@0.754569:0.497338:0.762662:0.497338:0.762662:0.482588:0.754569:0.482588:0.000000
fx:@0.799055:0.455767:0.821693:0.455767:0.821693:0.441041:0.799055:0.441041:0.000000:0.000000
fx:@0.799055:0.476488:0.825475:0.476488:0.825475:0.461763:0.799055:0.461763:0.000000:0.000000
():@0.807347:0.456968:0.829405:0.456968:0.829405:0.437481:0.807347:0.437481:0.000000:0.000000
=:@0.832272:0.455393:0.841377:0.455393:0.841377:0.440145:0.832272:0.440145:0.000000
′:@0.805935:0.475371:0.810031:0.475371:0.810031:0.460123:0.805935:0.460123:0.000000
():@0.811117:0.477690:0.833175:0.477690:0.833175:0.458203:0.811117:0.458203:0.000000:0.000000
=:@0.836041:0.476115:0.845146:0.476115:0.845146:0.460867:0.836041:0.460867:0.000000
9:@0.844002:0.455763:0.852095:0.455763:0.852095:0.441013:0.844002:0.441013:0.000000
0:@0.847774:0.476488:0.855868:0.476488:0.855868:0.461738:0.847774:0.461738:0.000000
fx:@0.705858:0.509834:0.728496:0.509834:0.728496:0.495109:0.705858:0.495109:0.000000:0.000000
x:@0.752080:0.509834:0.758796:0.509834:0.758796:0.495109:0.752080:0.495109:0.000000
fx:@0.705851:0.531190:0.732271:0.531190:0.732271:0.516464:0.705851:0.516464:0.000000:0.000000
x:@0.763152:0.531190:0.769869:0.531190:0.769869:0.516464:0.763152:0.516464:0.000000
():@0.714142:0.511033:0.736200:0.511033:0.736200:0.491546:0.714142:0.491546:0.000000:0.000000
=:@0.739068:0.509458:0.748173:0.509458:0.748173:0.494210:0.739068:0.494210:0.000000
′:@0.712730:0.530074:0.716826:0.530074:0.716826:0.514826:0.712730:0.514826:0.000000
():@0.717911:0.532391:0.739969:0.532391:0.739969:0.512904:0.717911:0.512904:0.000000:0.000000
=:@0.742837:0.530816:0.751942:0.530816:0.751942:0.515568:0.742837:0.515568:0.000000
5:@0.760223:0.502936:0.764913:0.502936:0.764913:0.494388:0.760223:0.494388:0.000000
4:@0.771578:0.524294:0.776268:0.524294:0.776268:0.515745:0.771578:0.515745:0.000000
5:@0.754569:0.531190:0.762662:0.531190:0.762662:0.516440:0.754569:0.516440:0.000000
fx:@0.792270:0.488436:0.814909:0.488436:0.814909:0.473711:0.792270:0.473711:0.000000:0.000000
x:@0.838492:0.488436:0.845209:0.488436:0.845209:0.473711:0.838492:0.473711:0.000000
fx:@0.792270:0.509795:0.818690:0.509795:0.818690:0.495070:0.792270:0.495070:0.000000:0.000000
x:@0.849571:0.509795:0.856288:0.509795:0.856288:0.495070:0.849571:0.495070:0.000000
():@0.800563:0.489638:0.822621:0.489638:0.822621:0.470151:0.800563:0.470151:0.000000:0.000000
=:@0.825487:0.488063:0.834592:0.488063:0.834592:0.472815:0.825487:0.472815:0.000000
′:@0.799150:0.508676:0.803247:0.508676:0.803247:0.493428:0.799150:0.493428:0.000000
():@0.804332:0.510995:0.826390:0.510995:0.826390:0.491509:0.804332:0.491509:0.000000:0.000000
=:@0.829256:0.509422:0.838361:0.509422:0.838361:0.494174:0.829256:0.494174:0.000000
5:@0.846644:0.481540:0.851334:0.481540:0.851334:0.472992:0.846644:0.472992:0.000000
4:@0.857998:0.502900:0.862689:0.502900:0.862689:0.494351:0.857998:0.494351:0.000000
5:@0.840990:0.509795:0.849083:0.509795:0.849083:0.495045:0.840990:0.495045:0.000000
fx:@0.705856:0.548917:0.728494:0.548917:0.728494:0.534192:0.705856:0.534192:0.000000:0.000000
x:@0.759608:0.548917:0.766324:0.548917:0.766324:0.534192:0.759608:0.534192:0.000000
fx:@0.705856:0.570277:0.732276:0.570277:0.732276:0.555552:0.705856:0.555552:0.000000:0.000000
x:@0.777950:0.570277:0.784667:0.570277:0.784667:0.555552:0.777950:0.555552:0.000000
f x:@0.801982:0.570277:0.828379:0.570274:0.828379:0.555549:0.801982:0.555552:0.000000:0.000000:0.000000
x:@0.866989:0.570274:0.873706:0.570274:0.873706:0.555549:0.866989:0.555549:0.000000
():@0.714144:0.550116:0.736202:0.550116:0.736202:0.530629:0.714144:0.530629:0.000000:0.000000
=:@0.739068:0.548542:0.748173:0.548542:0.748173:0.533294:0.739068:0.533294:0.000000
′:@0.712731:0.569154:0.716828:0.569154:0.716828:0.553906:0.712731:0.553906:0.000000
():@0.717913:0.571475:0.739971:0.571475:0.739971:0.551988:0.717913:0.551988:0.000000:0.000000
=⋅:@0.742837:0.569901:0.768046:0.569901:0.768046:0.554653:0.742837:0.554653:0.000000:0.000000
′:@0.808845:0.569154:0.812942:0.569154:0.812942:0.553906:0.808845:0.553906:0.000000
():@0.814030:0.571475:0.836088:0.571475:0.836088:0.551988:0.814030:0.551988:0.000000:0.000000
=:@0.838954:0.569901:0.848059:0.569901:0.848059:0.554653:0.838954:0.554653:0.000000
2:@0.750806:0.548914:0.758899:0.548914:0.758899:0.534164:0.750806:0.534164:0.000000
25 ; :@0.754570:0.570274:0.801977:0.570274:0.801977:0.555524:0.754570:0.555524:0.000000:0.000000:0.000000:0.000000:0.000000
10:@0.849651:0.570274:0.865755:0.570274:0.865755:0.555524:0.849651:0.555524:0.000000:0.000000
5:@0.767762:0.542020:0.772452:0.542020:0.772452:0.533472:0.767762:0.533472:0.000000
4:@0.786372:0.563378:0.791062:0.563378:0.791062:0.554830:0.786372:0.554830:0.000000
4:@0.875424:0.563378:0.880114:0.563378:0.880114:0.554830:0.875424:0.554830:0.000000
hx:@0.706083:0.610566:0.729998:0.610566:0.729998:0.595841:0.706083:0.595841:0.000000:0.000000
x:@0.753582:0.610566:0.760299:0.610566:0.760299:0.595841:0.753582:0.595841:0.000000
x:@0.790616:0.610566:0.797333:0.610566:0.797333:0.595841:0.790616:0.595841:0.000000
hx:@0.706083:0.631925:0.733763:0.631925:0.733763:0.617200:0.706083:0.617200:0.000000:0.000000
x:@0.764887:0.631922:0.771604:0.631922:0.771604:0.617197:0.764887:0.617197:0.000000
x:@0.802966:0.631922:0.809683:0.631922:0.809683:0.617197:0.802966:0.617197:0.000000
():@0.715652:0.611764:0.737709:0.611764:0.737709:0.592277:0.715652:0.592277:0.000000:0.000000
=:@0.740576:0.610190:0.749681:0.610190:0.749681:0.594942:0.740576:0.594942:0.000000
−:@0.770644:0.610190:0.779749:0.610190:0.779749:0.594942:0.770644:0.594942:0.000000
+:@0.807662:0.610190:0.816767:0.610190:0.816767:0.594942:0.807662:0.594942:0.000000
′:@0.714222:0.630802:0.718319:0.630802:0.718319:0.615554:0.714222:0.615554:0.000000
():@0.719421:0.633123:0.741479:0.633123:0.741479:0.613636:0.719421:0.613636:0.000000:0.000000
=:@0.744345:0.631549:0.753450:0.631549:0.753450:0.616301:0.744345:0.616301:0.000000
−:@0.781943:0.631549:0.791048:0.631549:0.791048:0.616301:0.781943:0.616301:0.000000
3:@0.761731:0.603667:0.766421:0.603667:0.766421:0.595119:0.761731:0.595119:0.000000
2:@0.798765:0.603667:0.803455:0.603667:0.803455:0.595119:0.798765:0.595119:0.000000
2:@0.773039:0.625026:0.777729:0.625026:0.777729:0.616478:0.773039:0.616478:0.000000
2:@0.781802:0.610563:0.789895:0.610563:0.789895:0.595813:0.781802:0.595813:0.000000
3:@0.819118:0.610563:0.827211:0.610563:0.827211:0.595813:0.819118:0.595813:0.000000
3:@0.756079:0.631922:0.764172:0.631922:0.764172:0.617172:0.756079:0.617172:0.000000
4:@0.793627:0.631922:0.801720:0.631922:0.801720:0.617172:0.793627:0.617172:0.000000
hx:@0.706086:0.662918:0.730001:0.662918:0.730001:0.648193:0.706086:0.648193:0.000000:0.000000
x:@0.753585:0.662918:0.760302:0.662918:0.760302:0.648193:0.753585:0.648193:0.000000
x:@0.776953:0.662918:0.783670:0.662918:0.783670:0.648193:0.776953:0.648193:0.000000
hx:@0.706086:0.686892:0.733766:0.686892:0.733766:0.672167:0.706086:0.672167:0.000000:0.000000
x:@0.757350:0.686892:0.764067:0.686892:0.764067:0.672167:0.757350:0.672167:0.000000
x:@0.788314:0.686892:0.795031:0.686892:0.795031:0.672167:0.788314:0.672167:0.000000
x:@0.824065:0.686894:0.830782:0.686894:0.830782:0.672169:0.824065:0.672169:0.000000
x:@0.876224:0.686894:0.882941:0.686894:0.882941:0.672169:0.876224:0.672169:0.000000
hx:@0.706086:0.709878:0.733766:0.709878:0.733766:0.695153:0.706086:0.695153:0.000000:0.000000
x:@0.764879:0.709878:0.771596:0.709878:0.771596:0.695153:0.764879:0.695153:0.000000
x:@0.809824:0.709878:0.816541:0.709878:0.816541:0.695153:0.809824:0.695153:0.000000
():@0.715652:0.664120:0.737709:0.664120:0.737709:0.644633:0.715652:0.644633:0.000000:0.000000
=:@0.740576:0.662545:0.749681:0.662545:0.749681:0.647297:0.740576:0.647297:0.000000
−:@0.794012:0.662545:0.803117:0.662545:0.803117:0.647297:0.794012:0.647297:0.000000
(:@0.769363:0.665593:0.774886:0.665593:0.774886:0.641639:0.769363:0.641639:0.000000
):@0.813794:0.665593:0.819317:0.665593:0.819317:0.641639:0.813794:0.641639:0.000000
′:@0.714238:0.685777:0.718334:0.685777:0.718334:0.670529:0.714238:0.670529:0.000000
():@0.719421:0.688094:0.741479:0.688094:0.741479:0.668607:0.719421:0.668607:0.000000:0.000000
=:@0.744345:0.686520:0.753450:0.686520:0.753450:0.671272:0.744345:0.671272:0.000000
( ):@0.773132:0.688094:0.802736:0.688094:0.802736:0.668607:0.773132:0.668607:0.000000:0.000000:0.000000
+:@0.805031:0.686520:0.814136:0.686520:0.814136:0.671272:0.805031:0.671272:0.000000
−:@0.841119:0.686520:0.850224:0.686520:0.850224:0.671272:0.841119:0.671272:0.000000
(:@0.816479:0.689569:0.822002:0.689569:0.822002:0.665614:0.816479:0.665614:0.000000
):@0.860910:0.689569:0.866433:0.689569:0.866433:0.665614:0.860910:0.665614:0.000000
′:@0.714238:0.708762:0.718334:0.708762:0.718334:0.693514:0.714238:0.693514:0.000000
():@0.719421:0.711080:0.741479:0.711080:0.741479:0.691593:0.719421:0.691593:0.000000:0.000000
=:@0.744345:0.709505:0.753450:0.709505:0.753450:0.694257:0.744345:0.694257:0.000000
−:@0.782374:0.709505:0.791479:0.709505:0.791479:0.694257:0.782374:0.694257:0.000000
5:@0.761731:0.656022:0.766421:0.656022:0.766421:0.647474:0.761731:0.647474:0.000000
2:@0.785097:0.656022:0.789787:0.656022:0.789787:0.647474:0.785097:0.647474:0.000000
5:@0.765500:0.679998:0.770190:0.679998:0.770190:0.671450:0.765500:0.671450:0.000000
2:@0.832215:0.679998:0.836905:0.679998:0.836905:0.671450:0.832215:0.671450:0.000000
4:@0.884656:0.679998:0.889347:0.679998:0.889347:0.671450:0.884656:0.671450:0.000000
6:@0.773180:0.702981:0.777871:0.702981:0.777871:0.694433:0.773180:0.694433:0.000000
4:@0.818268:0.702981:0.822959:0.702981:0.822959:0.694433:0.818268:0.694433:0.000000
2:@0.805171:0.662918:0.813265:0.662918:0.813265:0.648168:0.805171:0.648168:0.000000
2:@0.779493:0.686894:0.787587:0.686894:0.787587:0.672144:0.779493:0.672144:0.000000
2 5:@0.852284:0.686894:0.875741:0.686894:0.875741:0.672144:0.852284:0.672144:0.000000:0.000000:0.000000
7:@0.755799:0.709884:0.763893:0.709884:0.763893:0.695134:0.755799:0.695134:0.000000
10:@0.792502:0.709884:0.808606:0.709884:0.808606:0.695134:0.792502:0.695134:0.000000:0.000000
hx:@0.705682:0.741597:0.728003:0.741597:0.728003:0.727690:0.705682:0.727690:0.000000:0.000000
x:@0.751237:0.734144:0.757507:0.734144:0.757507:0.720237:0.751237:0.720237:0.000000
x:@0.756036:0.750814:0.762305:0.750814:0.762305:0.736906:0.756036:0.736906:0.000000
hx:@0.705682:0.778005:0.731517:0.778005:0.731517:0.764098:0.705682:0.764098:0.000000:0.000000
x:@0.760695:0.768024:0.766964:0.768024:0.766964:0.754117:0.760695:0.754117:0.000000
x:@0.806204:0.768024:0.812473:0.768024:0.812473:0.754117:0.806204:0.754117:0.000000
x:@0.839330:0.768024:0.845599:0.768024:0.845599:0.754117:0.839330:0.754117:0.000000
x:@0.810260:0.788702:0.816529:0.788702:0.816529:0.774795:0.810260:0.774795:0.000000
hx:@0.705682:0.816317:0.731517:0.816317:0.731517:0.802410:0.705682:0.802410:0.000000:0.000000
x:@0.754751:0.808863:0.761020:0.808863:0.761020:0.794956:0.754751:0.794956:0.000000
x:@0.789316:0.808863:0.795585:0.808863:0.795585:0.794956:0.789316:0.794956:0.000000
():@0.714610:0.742731:0.735197:0.742731:0.735197:0.724327:0.714610:0.724327:0.000000:0.000000
=:@0.737872:0.741244:0.746370:0.741244:0.746370:0.726844:0.737872:0.726844:0.000000
+:@0.767159:0.733791:0.775657:0.733791:0.775657:0.719390:0.767159:0.719390:0.000000
−:@0.765750:0.750461:0.774248:0.750461:0.774248:0.736060:0.765750:0.736060:0.000000
′:@0.713291:0.776947:0.717114:0.776947:0.717114:0.762546:0.713291:0.762546:0.000000
():@0.718128:0.779135:0.738715:0.779135:0.738715:0.760731:0.718128:0.760731:0.000000:0.000000
=:@0.741390:0.777648:0.749888:0.777648:0.749888:0.763247:0.741390:0.763247:0.000000
−:@0.770413:0.767667:0.778912:0.767667:0.778912:0.753267:0.770413:0.753267:0.000000
(:@0.753571:0.769149:0.758725:0.769149:0.758725:0.750744:0.753571:0.750744:0.000000
)( ):@0.785767:0.769149:0.819682:0.769149:0.819682:0.750744:0.785767:0.750744:0.000000:0.000000:0.000000:0.000000
−:@0.821820:0.767661:0.830318:0.767661:0.830318:0.753261:0.821820:0.753261:0.000000
+:@0.855240:0.767661:0.863738:0.767661:0.863738:0.753261:0.855240:0.753261:0.000000
(:@0.832243:0.770541:0.837398:0.770541:0.837398:0.747918:0.832243:0.747918:0.000000
):@0.873975:0.770541:0.879130:0.770541:0.879130:0.747918:0.873975:0.747918:0.000000
():@0.880264:0.769149:0.896285:0.769149:0.896285:0.750744:0.880264:0.750744:0.000000:0.000000
−:@0.819974:0.788335:0.828472:0.788335:0.828472:0.773934:0.819974:0.773934:0.000000
(:@0.803131:0.789822:0.808285:0.789822:0.808285:0.771418:0.803131:0.771418:0.000000
):@0.835328:0.789822:0.840482:0.789822:0.840482:0.771418:0.835328:0.771418:0.000000
′:@0.713289:0.815253:0.717113:0.815253:0.717113:0.800852:0.713289:0.800852:0.000000
():@0.718128:0.817442:0.738715:0.817442:0.738715:0.799037:0.718128:0.799037:0.000000:0.000000
=:@0.741390:0.815954:0.749888:0.815954:0.749888:0.801554:0.741390:0.801554:0.000000
−:@0.770677:0.808501:0.779175:0.808501:0.779175:0.794100:0.770677:0.794100:0.000000
−:@0.799035:0.808501:0.807533:0.808501:0.807533:0.794100:0.799035:0.794100:0.000000
2:@0.758848:0.727637:0.763225:0.727637:0.763225:0.719564:0.758848:0.719564:0.000000
2:@0.846933:0.761504:0.851311:0.761504:0.851311:0.753431:0.846933:0.753431:0.000000
2:@0.840510:0.780540:0.844888:0.780540:0.844888:0.772466:0.840510:0.772466:0.000000
2:@0.762364:0.802348:0.766742:0.802348:0.766742:0.794275:0.762364:0.794275:0.000000
2:@0.777845:0.734150:0.785399:0.734150:0.785399:0.720219:0.777845:0.720219:0.000000
1:@0.775213:0.750820:0.782767:0.750820:0.782767:0.736889:0.775213:0.736889:0.000000
12:@0.779872:0.768018:0.805553:0.768018:0.805553:0.754088:0.779872:0.754088:0.000000:0.000000
21:@0.865937:0.768018:0.892793:0.768018:0.892793:0.754088:0.865937:0.754088:0.000000:0.000000
1:@0.829437:0.788697:0.836991:0.788697:0.836991:0.774766:0.829437:0.774766:0.000000
2:@0.781111:0.808870:0.788665:0.808870:0.788665:0.794939:0.781111:0.794939:0.000000
2:@0.809469:0.808870:0.817023:0.808870:0.817023:0.794939:0.809469:0.794939:0.000000
,:@0.787751:0.741603:0.790445:0.741603:0.790445:0.727673:0.787751:0.727673:0.000000
,:@0.898877:0.778011:0.901570:0.778011:0.901570:0.764080:0.898877:0.764080:0.000000
x x:@0.770502:0.826994:0.776771:0.826994:0.776771:0.813087:0.770502:0.813087:0.000000:0.000000:0.000000
−:@0.780223:0.826641:0.788721:0.826641:0.788721:0.812241:0.780223:0.812241:0.000000
(:@0.763377:0.828129:0.768532:0.828129:0.768532:0.809724:0.763377:0.809724:0.000000
):@0.795574:0.828129:0.800729:0.828129:0.800729:0.809724:0.795574:0.809724:0.000000
1:@0.789675:0.826994:0.797229:0.826994:0.797229:0.813063:0.789675:0.813063:0.000000
2:@0.800757:0.818845:0.805135:0.818845:0.805135:0.810771:0.800757:0.810771:0.000000
©Shutterstock:@0.068421:0.278295:0.068421:0.235469:0.056510:0.235469:0.056510:0.278295:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En agricultura se emplea:@0.076177:0.397593:0.223979:0.397593:0.223979:0.384183:0.076177:0.384183:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el cálculo de costo marginal.:@0.076177:0.410164:0.246395:0.410164:0.246395:0.396755:0.076177:0.396755:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cción y expresión:@0.306727:0.866407:0.431598:0.866407:0.431598:0.851043:0.306727:0.851043:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.285132:0.867193:0.297220:0.867193:0.297220:0.850057:0.285132:0.850057:0.000000
Ejemplos paso a paso:@0.287495:0.892506:0.442388:0.892506:0.442388:0.877142:0.287495:0.877142:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.287495:0.920109:0.301722:0.920109:0.301722:0.903208:0.287495:0.903208:0.000000:0.000000
  Resolvamos nuestro problema inicial. :@0.301722:0.920109:0.592324:0.920109:0.592324:0.903720:0.301722:0.903720:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Valoras el estudio:@0.134985:0.873775:0.250694:0.873775:0.250694:0.858901:0.134985:0.858901:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la matemática?:@0.132539:0.887605:0.250692:0.887605:0.250692:0.872732:0.132539:0.872732:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Justifica tu respuesta.:@0.116407:0.901436:0.250692:0.901436:0.250692:0.886562:0.116407:0.886562:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.1.47.:@0.298180:0.946129:0.353208:0.946129:0.353208:0.933667:0.298180:0.933667:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  :@0.353207:0.946129:0.359492:0.946129:0.359492:0.933838:0.353207:0.933838:0.000000:0.000000
Calcular de manera intuitiva la derivada de funciones polinomiales de grado ≤4 a partir del cociente :@0.360236:0.946129:0.906573:0.946129:0.906573:0.934210:0.360236:0.934210:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
incremental.:@0.298180:0.957445:0.364357:0.957445:0.364357:0.945526:0.298180:0.945526:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000