$\frac{d}{dx}\left(6x^{-3}+9x^{-1}\right)$

$\int x\left(4x^3-3x+5\right)dx$

$5^4\cdot5^3:5$

$6x^34axy+4ax^2-6x^2-4ax^2-6x^2y$

$y\left(1-x\right)+4y\left(1-x\right)$

$\lim_{x\to2}\left(\frac{2x^3-2x}{x^3-4x+4}\right)$

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