Mo logo [home] [lexicon] [problems] [tests] [courses] [auxiliaries] [notes] [staff] german flag

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)

see also:


[Examples]

  automatically generated 4/ 8/2008