$\frac{dy}{dx}\left(x\sqrt{x^2+3}\right)$

$\frac{5x}{x+1}=4-\frac{5}{x+1}$

$\ln\left(e\right)^{-9}+\ln\left(e\right)^5$

$\left(4b+2c\right)+\left(3c-2\right)$

$y'\:+\:2xy\:+\:x\:=\:e^{-x^2}$

$\left(5776-10816\right)$

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