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Máximos y mínimos en Cálculo Diferencial

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Extremos locales y globales

Created by

Aketzali Hernández
Aketzali Hernández
Mexico

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Máximos y mínimos en Cálculo Diferencial
 

Máximos y mínimos en Cálculo DiferencialOnline version

Extremos locales y globales

by Aketzali Hernández
1

Si f''(x0)>0 en x0, entonces x0 es un mínimo local.

2

En un intervalo cerrado [a,b], el máximo global puede estar en los extremos.

3

La derivada no puede ser 0 en un punto si hay un extremo.

4

Si f''(x0)<0 en x0, entonces x0 es un máximo local.

5

Un extremo global en [a,b] puede ocurrir incluso si f'(x)=0 en ese punto.

6

En un punto interior, un máximo o mínimo local cumple f'(x)=0 (Fermat).

7

En un extremo de [a,b], f'(a)=0 es necesario para un extremo global.

8

Un máximo local siempre es global en un intervalo.

9

Si f'(x0)=0, necesariamente f tiene un extremo en x0.

10

Si f''(x0)=0, se puede concluir que no hay extremo en x0.

 
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