182:@0.031627:0.974518:0.062330:0.974518:0.062330:0.956333:0.031627:0.956333:0.000000:0.000000:0.000000
Aplicaciones de la derivada:@0.073089:0.043661:0.316384:0.043661:0.316384:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para este punto, si reuniéramos toda la información relacionada con el trazo de curvas :@0.293660:0.136836:0.930906:0.136836:0.930906:0.120402:0.293660:0.120402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
podríamos identificar de manera más completa las características más importantes de :@0.293660:0.153478:0.930877:0.153478:0.930877:0.137044:0.293660:0.137044:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una función.:@0.293660:0.170120:0.384261:0.170120:0.384261:0.153686:0.293660:0.153686:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Recomendaciones para lograr un buen trazado de curvas por medio del cálculo::@0.293660:0.197482:0.874718:0.197482:0.874718:0.181048:0.293660:0.181048:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.  Hallar el dominio de la función.:@0.293660:0.224846:0.548927:0.224846:0.548927:0.208412:0.293660:0.208412:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.  Hallar lo interceptos con los ejes.:@0.293660:0.249708:0.559796:0.249708:0.559796:0.233274:0.293660:0.233274:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3.  Identificar las simetrías y la periodicidad en caso de que existan.:@0.293660:0.274569:0.783586:0.274569:0.783586:0.258135:0.293660:0.258135:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4.  Hallar las asíntotas.:@0.293660:0.299431:0.459326:0.299431:0.459326:0.282997:0.293660:0.282997:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5.  Determinar los intervalos donde la función crece, decrece o es constante.:@0.293660:0.324293:0.854162:0.324293:0.854162:0.307859:0.293660:0.307859:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6.  Determinar los valores extremos.:@0.293660:0.349153:0.560807:0.349153:0.560807:0.332719:0.293660:0.332719:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
7.  Analizar la concavidad y encontrar los puntos de inflexión.:@0.293660:0.374015:0.744086:0.374015:0.744086:0.357581:0.293660:0.357581:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
8.  Hacer el bosquejo de la gráfica.:@0.293660:0.398877:0.549424:0.398877:0.549424:0.382443:0.293660:0.382443:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 7. :@0.293674:0.445530:0.377022:0.445530:0.377022:0.428860:0.293674:0.428860:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Elaboremos la gráfica de la función  :@0.376893:0.445530:0.637593:0.445530:0.637593:0.429096:0.376893:0.429096:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.778869:0.445535:0.782072:0.445535:0.782072:0.429101:0.778869:0.429101:0.000000
Al seguir las recomendaciones anteriores tenemos::@0.293660:0.472897:0.661993:0.472897:0.661993:0.456463:0.293660:0.456463:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.  Dominio:  .:@0.293660:0.500260:0.414606:0.500260:0.414606:0.483590:0.293660:0.483590:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ:@0.397598:0.500842:0.410888:0.500842:0.410888:0.483188:0.397598:0.483188:0.000000
2.  Interceptos con los ejes::@0.293660:0.525122:0.504954:0.525122:0.504954:0.508452:0.293660:0.508452:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a.  Con el eje : :@0.325203:0.557273:0.438506:0.557273:0.438506:0.540839:0.325203:0.540839:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.355324:0.582134:0.362779:0.582134:0.362779:0.565728:0.355324:0.565728:0.000000
3:@0.362714:0.576070:0.367951:0.576070:0.367951:0.566489:0.362714:0.566489:0.000000
 (1,5  10) = 0.:@0.367903:0.582134:0.471687:0.582134:0.471687:0.565700:0.367903:0.565700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2 :@0.397577:0.576070:0.405122:0.576070:0.405122:0.566489:0.397577:0.566489:0.000000:0.000000
–:@0.405071:0.582716:0.414274:0.582716:0.414274:0.565062:0.405071:0.565062:0.000000
x:@0.355316:0.609496:0.362771:0.609496:0.362771:0.593090:0.355316:0.593090:0.000000
3 :@0.362714:0.603433:0.370258:0.603433:0.370258:0.593852:0.362714:0.593852:0.000000:0.000000
= 0    y    1,5:@0.370206:0.609497:0.454677:0.609497:0.454677:0.593063:0.370206:0.593063:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.454493:0.609497:0.461948:0.609497:0.461948:0.593091:0.454493:0.593091:0.000000
2 :@0.461887:0.603433:0.469431:0.603433:0.469431:0.593852:0.461887:0.593852:0.000000:0.000000
–:@0.469381:0.610080:0.478584:0.610080:0.478584:0.592425:0.469381:0.592425:0.000000
 10 = 0:@0.478492:0.609497:0.528063:0.609497:0.528063:0.593063:0.478492:0.593063:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.355329:0.640853:0.362784:0.640853:0.362784:0.624447:0.355329:0.624447:0.000000
1 :@0.362714:0.640603:0.369230:0.640603:0.369230:0.632329:0.362714:0.632329:0.000000:0.000000
= 0    y     = :@0.369185:0.640858:0.462361:0.640858:0.462361:0.624424:0.369185:0.624424:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.432543:0.640858:0.439998:0.640858:0.439998:0.624452:0.432543:0.624452:0.000000
2 :@0.439939:0.634794:0.447483:0.634794:0.447483:0.625213:0.439939:0.625213:0.000000:0.000000
 = 6,666   de donde :@0.486446:0.640858:0.630925:0.640858:0.630925:0.624424:0.486446:0.624424:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.355324:0.668221:0.362779:0.668221:0.362779:0.651815:0.355324:0.651815:0.000000
2 :@0.362714:0.667966:0.369230:0.667966:0.369230:0.659692:0.362714:0.659692:0.000000:0.000000
=  2,58199          :@0.369185:0.668221:0.490102:0.668221:0.490102:0.651788:0.369185:0.651788:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.384021:0.668804:0.393225:0.668804:0.393225:0.651150:0.384021:0.651150:0.000000
x:@0.355324:0.695583:0.362779:0.695583:0.362779:0.679177:0.355324:0.679177:0.000000
3 :@0.362714:0.695329:0.369230:0.695329:0.369230:0.687055:0.362714:0.687055:0.000000:0.000000
= 2,58199.:@0.369185:0.695585:0.443826:0.695585:0.443826:0.679151:0.369185:0.679151:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los puntos de corte con el eje x son (-2.58199,0), (0,0), (2.58199,0).:@0.355324:0.722946:0.829558:0.722946:0.829558:0.706513:0.355324:0.706513:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b.  Con el eje   ( = 0):  si  = 0, entonces  = 0.:@0.325203:0.750311:0.662548:0.750311:0.662548:0.733877:0.325203:0.733877:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y x :@0.431279:0.750311:0.458117:0.750311:0.458117:0.733905:0.431279:0.733905:0.000000:0.000000:0.000000:0.000000
x :@0.512124:0.750311:0.522819:0.750311:0.522819:0.733905:0.512124:0.733905:0.000000:0.000000
y :@0.624924:0.750311:0.635637:0.750311:0.635637:0.733905:0.624924:0.733905:0.000000:0.000000
Punto de corte con el eje  : (0,0).:@0.355331:0.775177:0.589435:0.775177:0.589435:0.758743:0.355331:0.758743:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.541189:0.775177:0.548663:0.775177:0.548663:0.758771:0.541189:0.758771:0.000000
3.  Simetrías::@0.293660:0.802535:0.397612:0.802535:0.397612:0.785865:0.293660:0.785865:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Evaluamos  ( ): :@0.323784:0.835971:0.446653:0.835971:0.446653:0.819537:0.323784:0.819537:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f  x:@0.405715:0.835971:0.434762:0.835971:0.434762:0.819565:0.405715:0.819565:0.000000:0.000000:0.000000:0.000000
–:@0.418195:0.836553:0.427399:0.836553:0.427399:0.818899:0.418195:0.818899:0.000000
, lo que nos per-:@0.811111:0.835970:0.926911:0.835970:0.926911:0.819536:0.811111:0.819536:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mite concluir que la función es impar y, por tanto, es simétrica con respecto al ori-:@0.323779:0.861182:0.926911:0.861182:0.926911:0.844748:0.323779:0.844748:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gen.:@0.323779:0.886395:0.355569:0.886395:0.355569:0.869961:0.323779:0.869961:0.000000:0.000000:0.000000:0.000000
4.  Asíntotas: :@0.293660:0.913763:0.402058:0.913763:0.402058:0.897093:0.293660:0.897093:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
no hay.:@0.401942:0.913763:0.453964:0.913763:0.453964:0.897329:0.401942:0.897329:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Usa la segunda derivada :@0.078581:0.187395:0.242867:0.187395:0.242867:0.172455:0.078581:0.172455:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para verificar los puntos :@0.078581:0.202524:0.238972:0.202524:0.238972:0.187584:0.078581:0.187584:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
críticos: una vez que :@0.078581:0.217652:0.215917:0.217652:0.215917:0.202713:0.078581:0.202713:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
encuentres los puntos :@0.078581:0.232781:0.229022:0.232781:0.229022:0.217842:0.078581:0.217842:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
críticos con la primera :@0.078581:0.247910:0.227665:0.247910:0.227665:0.232971:0.078581:0.232971:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
derivada, utiliza la segunda :@0.078581:0.263039:0.260070:0.263039:0.260070:0.248099:0.078581:0.248099:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
derivada para verificar :@0.078581:0.278168:0.227074:0.278168:0.227074:0.263228:0.078581:0.263228:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
si estos son máximos o :@0.078581:0.293297:0.233649:0.293297:0.233649:0.278357:0.078581:0.278357:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mínimos locales. Si  ''( )>0 :@0.078581:0.308426:0.253216:0.308426:0.253216:0.293486:0.078581:0.293486:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.206026:0.308426:0.227178:0.308426:0.227178:0.293512:0.206026:0.293512:0.000000:0.000000:0.000000
en un punto crítico, la :@0.078564:0.323555:0.226204:0.323555:0.226204:0.308615:0.078564:0.308615:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
función tiene un mínimo :@0.078564:0.338684:0.246823:0.338684:0.246823:0.323744:0.078564:0.323744:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
local allí, ya que es cóncava :@0.078564:0.353813:0.261676:0.353813:0.261676:0.338873:0.078564:0.338873:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hacia arriba. Si  ''( )<0, :@0.078564:0.368942:0.225672:0.368942:0.225672:0.354002:0.078564:0.354002:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.175637:0.368942:0.196789:0.368942:0.196789:0.354027:0.175637:0.354027:0.000000:0.000000:0.000000
entonces tiene un máximo :@0.078547:0.384071:0.259819:0.384071:0.259819:0.369131:0.078547:0.369131:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
local, ya que es cóncava :@0.078547:0.399200:0.239952:0.399200:0.239952:0.384260:0.078547:0.384260:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hacia abajo.:@0.078547:0.414329:0.156121:0.414329:0.156121:0.399389:0.078547:0.399389:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.078547:0.145424:0.177239:0.145424:0.177239:0.130018:0.078547:0.130018:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.078547:0.160553:0.167162:0.160553:0.167162:0.145147:0.078547:0.145147:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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