$2\cot\left(x\right)=\csc^2\left(x\right)$

$\frac{dy}{dx}\left(e^y\cos\left(x\right)=1+\sin\left(xy\right)\right)$

$\frac{d^2}{dx^2}\left(4\right)$

$\frac{\sqrt{x^2-7}+4}{2x-6}$

$\int_{1}^{e}\frac{\left(\ln\left(2x\right)\right)^{3}}{x}dx$

$3x-2=2x^2$

$\left(csc^2x-1\right)sec\:x=cot\:x\:csc\:x$