$z=e^{xy^2}$

$\lim_{x\to2}\left(\frac{9x^2-36x+36}{2-x}\right)$

$3x\left(x-3\right)\left(x+3\right)$

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

$\lim_{x\to2}x-3+\frac{x^2}{2x^2-8}$

$\left(1+e^x\right)\frac{dy}{dx}\cdot e^x+y=0$

$\frac{dy}{dx}\left(\sqrt{1+x+y}\right)=1+x+y$