Mathematics-Online lexicon: Product Rule

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	Mathematics-Online lexicon:
	Product Rule

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

The derivative of a product of two differentiable functions

and

is given by

$\displaystyle (fg)'=f'g+fg'\,.$

More generally, for a product $f = f_1 \cdots f_n$ it is

$\displaystyle f' = \sum_{i = 1}^{n} f_{i}' \frac{f}{f_i}\,.$

(Authors: Höllig/Kopf/Abele)

Annotation:

automatically generated 4/ 7/2008