$\frac{ds}{dr}=\frac{lnr\left(s+1\right)}{s}$

$ln\left(e^x-xe^x\right)$

$\lim\:_{x\to\:\:0}\frac{\left|x\right|-x}{x}$

$\frac{dy}{dx}\:x^{\frac{1}{5}}+y^{\frac{1}{5}}=4$

$\frac{9\frac{-2}{3}^{-3}\:d^2}{5\frac{5}{2}^{-4}\:\frac{5}{4}^3}+\frac{\frac{-1}{2}^{-4}\:\frac{1}{3}^3\:\frac{1}{2}^{-2}}{32}$

$2x+7\le x+12$

$\frac{dy}{dx}\:-4y=0$