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Mathematics-Online lexicon:

Quotient 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 overview
The derivative of a quotient of two differentiable functions is given by

$\displaystyle \left( \frac{f}{g} \right)'=\frac{f'g-fg'}{g^2} $

in all $ x$ with $ g(x)\neq 0$. In particular, it is

$\displaystyle \left( \frac{1}{g} \right)'= -\frac{g'}{g^2}\,. $

(Authors: Höllig/Kopf/Abele)

Examples:

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  automatically generated 4/ 8/2008