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Extremos en Cálculo Diferencial

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Extremos en Cálculo Diferencial

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Preguntas sobre máximos y mínimos

Created by

Stefany Martínez
Stefany Martínez
Mexico

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Extremos en Cálculo Diferencial
 

Extremos en Cálculo DiferencialOnline version

Preguntas sobre máximos y mínimos

by Stefany Martínez
1

Conocer los extremos ayuda a optimizar problemas en economía, física e ingeniería.

2

Los máximos y mínimos absolutos representan los valores extremos en todo el dominio de la función.

3

Un cero en la derivada nunca puede corresponder a un punto de inflexión.

4

Los máximos y mínimos locales ocurren en puntos críticos donde la derivada es cero.

5

Un máximo local siempre es un máximo global.

6

Un máximo local se forma cuando la función pasa de crecer a decrecer.

7

Un mínimo local se forma cuando la función pasa de decrecer a crecer.

8

La derivada nunca se usa para encontrar puntos críticos.

9

Si la segunda derivada es positiva en un punto, la función tiene un mínimo.

10

Para clasificar un punto crítico, se usa la segunda derivada.

11

La derivada indica la pendiente; si f'(x)=0, la pendiente es horizontal.

12

Si la segunda derivada es cero, se necesita aplicar otro método de clasificación.

13

La segunda derivada positiva indica convexidad hacia arriba.

14

Si f'(x)=0 y f''(x)>0, entonces es un máximo.

15

Si la segunda derivada es negativa, corresponde a un máximo.

 
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