Mathematics-Online lexicon: Linearity of Derivatives

	[home] [lexicon] [problems] [tests] [courses] [auxiliaries] [notes] [staff]
	Mathematics-Online lexicon:
	Linearity of Derivatives

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

Derivatives are linear, i. e. for differentiable functions

and

it is

$\displaystyle (rf)'$	$\displaystyle = rf' \,, \quad r\in \mathbb{R} \,,$
$\displaystyle (f \pm g)'$	$\displaystyle = f' \pm g' \,.$

(Authors: Höllig/Kopf/Abele)

Example:

automatically generated 4/20/2011