$48x^2+8x=0$

$\frac{dy}{dx}=2y+x^5+5$

$y^2\cdot y^2$

$\frac{2x}{\left(2x^{-2}y^{-3}2y^2\right)^2}$

$\left[\frac{1}{3}\left(\frac{4}{-5}\right)\right]-\left[\frac{1}{3}\left(-\frac{1}{7}\right)\right]$

$\frac{d}{dx}\:e^{\sqrt{t}}$

$\sin\left(x\right)+\cos\left(x\right)\cdot\tan\left(x\right)+\cot\left(x\right)$