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

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

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

$\frac{d}{dx}\left(2x^3\tanh\left(\frac{1}{x^2}\right)\right)$

$\frac{d}{dx}\left(\ln\left(\mathrm{sech}\left(3x+8\right)\right)\right)$

$\frac{d}{dx}\ln\left(x^2+1\right)$

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

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