Inverse Tangent Derivative Problem

Determine the derivative of the following inverse trig function

$f(x) = \arctan{(\sqrt{x})}$

Determine the derivative of the inverse trigonometric function

$f(x) = \sec^{-1}{(5x)}$

Find the derivative of the following hyperbolic function

$f(x) = \sin{(\sinh{(x)})}$

Find the derivative of $f(x) = {(\sinh^{-1}(x))}^{\frac{3}{2}}$