$\frac{d}{dy}\left(y^{\ln\left(x\right)}\right)$

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

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

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

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

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

$\frac{d}{dx}\left(\sqrt{\frac{x\left(x+2\right)}{\left(2x+1\right)\left(5x+3\right)}}\right)$

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