Prove the trigonometric identity $\frac{\sin\left(x+y\right)}{\cos\left(x\right)\cos\left(y\right)}=\tan\left(x\right)+\tan\left(y\right)$

$\frac{d}{dx}\left(\arcsin\left(\sqrt{x}\right)\right)$

Find the derivative

$\frac{d}{dx}\left(\sqrt[4]{x}\right)$

$\frac{d}{dx}\left(\sin^2\left(x\right)\right)$

Find the derivative

$\frac{d}{dx}\left(x^{-3}\right)$

$\frac{d}{dx}\left(x\sqrt{x^2-1}\right)$

Find the derivative

$\frac{d}{dx}\left(x^{\frac{3}{4}}\right)$

$\frac{d}{dx}\ln\left(x^2\right)$