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

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

$\frac{d}{dx}\left(sinx^{lnx}\right)$

$\frac{d}{dx}x^{cosx}$

$\frac{d}{dx}\left(xy+2x+3x^2=4\right)$

$\frac{d}{dx}\left(\ln\left(xy\right)=e^{xy}\right)$

$\frac{d}{dx}\left(x^{5\sin\left(x\right)}\right)$

$\frac{d}{dx}\left(tan^{9-7x}\left(x\right)\right)$