Derivate notevoli

Funzione	Derivata
$\sin x$	$\cos x$
$\cos x$	$-\sin x$
$\sinh x$	$\cosh x$
$\cosh x$	$\sinh x$
$e^x$	$e^x$
$\ln x$	$\frac{1}{x}$
${\log }_{a}x$	$\frac{1}{x\ln a}$
$\tan x$	$1+{\tan }^{2}x=\frac{1}{{\cos }^{2}x}$
$\arctan x$	$\frac{1}{1+x^2}$
$\arcsin x$	$\frac{1}{\sqrt{1-x^2}}$
$\arccos x$	$-\frac{1}{\sqrt{1-x^2}}$
$\tanh x$	$1-{\tanh }^{2}x$