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

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

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

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

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

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

$\frac{d}{dx}\left(\ln\left(\sinh\left(10x\right)\right)\right)$

$\frac{d}{dx}\left(\mathrm{sech}\left(-4x\right)\left(1-\ln\left(\mathrm{sech}\left(-4x\right)\right)\right)\right)$