$\lim_{x\to\infty}\left(\frac{\sqrt{2-x}-\sqrt{2}}{x}\right)$

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

$\left(5y-3\right)\left(y-6\right)$

$\frac{d}{dx}\left(\frac{-y^3-3yx^2}{x\left(x^2+3y^2\right)}\right)$

$15x^2-x+2$

$\int\:\left(4x+32x^3\right)\left(ln\:x\right)^2\:dx$

$1-\tan x\cdot1+\cot x$