$\lim_{x\to0}\left(-x^3+2x^2+3\right)$

$\frac{3}{2}x+2>x+3\left(x-9\right)$

$\frac{d}{dx}e^{\sqrt{3x+1}}$

$6xy\sqrt[6]{x^4y^5z}\:.\:4\:\sqrt{9x^3yz}$

$\frac{dy}{dx}=\frac{e^{x-y}}{y-1}$

$\frac{dy}{dx}\left(ycos\left(\frac{1}{x}\right)-e^{\left(x-y\right)^2}=\left(y-x\right)^2\right)$

$\left(2x-4\right)\left(2x-4\right)^3$