Mo logo [home] [lexicon] [problems] [tests] [courses] [auxiliaries] [notes] [staff] german flag
Mathematics-Online course: Preparatory Course Mathematics - Analysis - Differential Calculus

Linearity of Derivatives

[previous page] [next page] [table of contents][page overview]
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)
[previous page] [next page] [table of contents][page overview]
  automatically generated 1/9/2017