$\frac{d}{dx},\frac{x^6sinx}{tanx}$

$\int x^2cos\left(\frac{x}{4}\right)dx$

$\frac{12xy^{7}}{4x^{3}y^{8}}$

$\left(x+2\right)\left(2x+2\right)$

$\frac{cot\left(x\right)+tan\left(x\right)}{csc\left(-x\right)}$

$x^2y+2x^2-y-2=0$

$\tan\left(x+45\right)=\left(\frac{1+\tan\left(x\right)}{1-\tan\left(x\right)}\right)$