Mathematics-Online lexicon: Extrema

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	Mathematics-Online lexicon:
	Extrema

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

For the extrema of a differentiable function holds:

$\displaystyle f'(x_{0})$	$\displaystyle =0 \qquad \textnormal{necessary condition}$
$\displaystyle f''(x_{0})$	$\displaystyle \ne 0 \qquad \textnormal{sufficient condition}$

$\displaystyle f''(x_{0})$	$\displaystyle >0 \qquad \textnormal{minimum}$
$\displaystyle f''(x_{0})$	$\displaystyle <0 \qquad \textnormal{maximum}$

(Authors: Jahn/Knödler)

see also:

automatically generated 7/ 8/2004