$\lim_{x\to3}\left(\frac{\sqrt{x+1}-2}{\sqrt{x}-\sqrt{3}}\right)$

$\frac{dy}{dx}=\frac{12y}{x}$

$\int x^2\cdot\left(x+1\right)e^xdx$

$\frac{dy}{dx}=\frac{5x-3y}{-3x-5y}$

$\lim_{x\to0}\left(\frac{e^2-1}{\sin\left(x\right)}\right)$

$2x^{-4}y^3\left(2x^3y^{-4}\right)^{-1}$

$\left(4x^3-9y\right)^3$