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

Essential Derivatives

[previous page] [next page] [table of contents][page overview]
$ f(x)$ $ f'(x)$   $ f(x)$ $ f'(x)$
$ c$ 0   $ x^r$ , $ r\ne0$ $ rx^{r-1}$
$ e^x$ $ e^x$   $ \ln \vert x\vert$ $ \displaystyle\frac{1}{x}$
$ \sin x $ $ \cos x $   $ \arcsin x $ $ \displaystyle\frac{1}{\sqrt{1-x^2}}$
$ \cos x $ $ -\sin x $   $ \arccos x $ $ -\displaystyle\frac{1}{\sqrt{1-x^2}}$
$ \tan x $ $ \tan^2 x+1$   $ \arctan x $ $ \displaystyle\frac{1}{1+x^2}$
$ \cot x $ $ -\displaystyle\frac{1}{\sin^2 x}$   $ \operatorname{arccot} x$ $ -\displaystyle\frac{1}{1+x^2}$
[previous page] [next page] [table of contents][page overview]
  automatically generated 9/18/2007