$\lim_{x\to0}\left(\frac{x^3-4x}{x^2+x^4}\right)$

$-8c^2-4cd-d^2$

$\frac{dy}{dx}\left(y=x^3\right)$

$\frac { x ^ { 2 } - 16 } { x ^ { 2 } + 8 x + 16 }$

$\int\frac{36-3x}{\sqrt{36-2x}}dx$

$\frac{8}{1-cos\:x}+\frac{8}{1+cos\:x}=16\:csc^2x$

$\frac{dy}{dx}=\frac{\left(1+x\right)}{\left(x-1\right)}$