$xy\:\frac{dy}{dx}\:=\:\frac{x^2+1}{x}$

$-4\:\left(-2\right)\:+\:3\:\cdot\:8\:-\:-4\:+\:2\:\left(-2\right)\:+\:\left[-\left(5\:-\:6\right)\:+\:2\right]\:-\:3\:-\:\left[4\:-\:2\:\left(-3\right)\right]$

$\frac{d}{dx}\left(x\ln\left(x^2\right)\right)$

$1.5+.75$

$\left(-1\right)-\left(-1\right)-\left(-3+5\right)$

$a=\sin^2\left(x\right)\csc\left(x\right)$

$\lim_{x\to1}\left(\frac{\frac{2}{x^{2}}-2}{x-1}\right)$