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Máximos y mínimos en cálculo diferencial

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Máximos y mínimos en cálculo diferencial

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Extremos y criterios

Created by

Cecilia Serrano
Cecilia Serrano
Mexico

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Máximos y mínimos en cálculo diferencial
 

Máximos y mínimos en cálculo diferencialOnline version

Extremos y criterios

by Cecilia Serrano
1

Un extremo local siempre coincide con un extremo del dominio.

2

Según el criterio de la primera derivada, si f' cambia de positiva a negativa en x0, x0 es un máximo local.

3

Según el criterio de la segunda derivada, si f''(x0)>0, x0 es un mínimo local.

4

Un máximo global no puede ocurrir en el interior de un intervalo.

5

Un mínimo local puede ocurrir si f'(x0)=0 y f''(x0)>0.

6

Si f''(x0)=0, entonces f tiene un máximo local.

7

Un extremo local ocurre cuando la derivada se anula y la segunda derivada es negativa.

8

Si f'(x0)=0, entonces f tiene un punto de inflexión.

9

Un extremo local puede ocurrir también cuando f'(x0)=0 y f''(x0)<0 (máximo local).

10

La derivada se anula solo en máximos o mínimos.

11

El máximo es el valor más alto que alcanza la función?

 
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