Match each concept

$=-\frac{d}{dx}arcsin(x)$

$\frac{d}{dx}se{c}^{-1}(x)$

$=-\frac{d}{dx}arctan(x)$

$\frac{d}{dx}ta{n}^{-1}(x)$

$=-\frac{d}{dx}arcsec(x)$

$\frac{d}{dx}cs{c}^{-1}(x)$

$=\frac{1}{1+x^2}$

$=\frac{1}{\sqrt[\phantom{2}]{1-x^2}}$