Question

Differentiate the functions with respect to $x$
$\sec \left(\tan \left(\sqrt{x}\right)\right)$

Answer 1

$f\left(x\right)=sec\left(tan\sqrt{x}\right)$

differentiate with respect to x

$\frac{d}{dx}f\left(x\right)=\frac{d}{dx}\left\{sec\right(tan\sqrt{x}\left)\right\}$

$=sec\left(tan\sqrt{x}\right).tan\left(tan\sqrt{x}\right).(sec\sqrt{x}{)}^2.\frac{1}{2\sqrt{x}}$