Standard Derivatives

function	derivative
$x^n$	$n{x}^{n-1}$
$\cos (x)$	$-\sin (x)$
$\sin (x)$	$\cos (x)$
$\tan (x)$	${\sec }^2(x)$
$\sec (x)$	$\sec (x)\tan (x)$
$\csc (x)$	$-\csc (x)\cot (x)$
$\cot (x)$	$-{\csc }^2(x)$
$e^x$	$e^x$
$\ln (x)$	$\frac{1}{x}$
${\sin }^{-1}(x)$	$\frac{1}{\sqrt{1-x^2}}$
${\cos }^{-1}(x)$	$-\frac{1}{\sqrt{1-x^2}}$
${\tan }^{-1}(x)$	$\frac{1}{1+x^2}$