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Linearity of Derivatives


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Derivatives are linear, i. e. for differentiable functions $ f$ and $ g$ it is

$\displaystyle (rf)'$ $\displaystyle = rf' \,, \quad r\in \mathbb{R} \,,$    
$\displaystyle (f \pm g)'$ $\displaystyle = f' \pm g' \,.$    

(Authors: Höllig/Kopf/Abele)

Example:


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  automatically generated 4/20/2011