$dy=3x^2y^2dx$

$f\left(x\right)=\left(2x-4\right)e^{x^2-4x}$

$\lim_{x\to0}\left(\frac{x^2}{x^2+1}\right)$

$\ln\left(x+2\right)=3$

$\left(-2ax-3\right)\left(-2ax+6\right)$

$\left(x^2-2y^3\right)+\left(x^2+5y^4\right)$

$\lim_{x\to1}\left(\frac{-2x}{\sqrt{x}\left(2x+1\right)\left(x-1\right)}\right)$