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Mathematics-Online course: Preparatory Course Mathematics - Analysis - Differential Calculus

Product Rule

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The derivative of a product of two differentiable functions $ f$ and $ g$ 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)

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  automatically generated 1/9/2017