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

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

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

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

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

$\frac{d}{dx}\sin\left(8x\right)$

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

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