Question

Differentiate w.r.t $x$
$e^{co{\sec }^{2}x}$

Answer 1

$\frac{d}{dx}\left(e^{cose{c}^{2}x}\right)=e^{cose{c}^{2}x}.\frac{d}{dx}\left(cose{c}^{2}x\right)$

$=e^{cose{c}^{2}x}.2cosecx(-sinx)$

$=-2e^{cose{c}^{2}x}(sin=\frac{1}{cosecx})$