$\frac{d}{dx}\left(\log_{2}\left(\frac{x}{y}\right)=2\right)$

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

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

$\frac{d}{dx}\left(2x^2+3y^2-4xy=36\right)$

$\frac{d}{dx}\left(x^2-y^2=25\right)$

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

$\frac{d}{dx}\left(1+\frac{1}{x}\right)^x$

$\frac{d}{dx}\left(\frac{\left(x^3+1\right)^4sin^2x}{x^{\frac{1}{3}}}\right)$