$\frac{5}{2^x}+\frac{1}{3^x}$

$\frac{d}{dx}\sin^3ax^2$

$\lim_{x\to\infty}\left(\frac{8x^2+5x}{e^x}\right)$

$\:log\left(x\right)+log\left(x+2\right)=8$

$\:y\frac{dy}{dx}=\left(1-y^2\right)senx\:$

$\lim_{x\to\infty}\left(\frac{0.2x}{x^2+1}\right)$

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