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

Quotient Rule

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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)

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  automatically generated 1/9/2017