Mathematik-Online lexicon: Derivative Formula: The Quotient Rule

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	Mathematik-Online lexicon:
	Derivative Formula: The 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

Example:

$\displaystyle f(x)$	$\displaystyle =$	$\displaystyle \frac{x^2}{x^3+1}$
$\displaystyle f'(x)$	$\displaystyle =$	$\displaystyle \frac{2x(x^3+1)-x^23x^2}{(x^3+1)^2}$
	$\displaystyle =$	$\displaystyle \frac{2x^4+2x-3x^4}{(x^3+1)^2}$
	$\displaystyle =$	$\displaystyle \frac{2x-x^4}{(x^3+1)^2}$

(Authors: Jahn/Knödler)

automatisch erstellt am 8. 7. 2004