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

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

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

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

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

$\frac{d}{dx}\left(\sqrt{\frac{x\left(x+2\right)}{\left(2x+1\right)\left(5x+3\right)}}\right)$

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

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