$\lim_{x\to0}\left(\frac{x\:+\:ln\left(b\right)}{x\:-\:ln\left(b\right)}\right)^x$

$\frac{d}{dx}\left(xe^{-y}+y^2=1\right)$

$14ab-28^2b^2$

$\frac{1-9x^{2m-4}}{1+3x^{m-2}}$

$\lim_{x\to\frac{\pi}{2}}\left(\frac{ln\left(cscx\right)}{\left(2x-\pi\right)^2}\right)$

$\frac{dy}{dx}=3e^x-2y$