$\lim_{x\to1}\left(\frac{x^3-2x^2-x+2}{x^3+7x+6}\right)$

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

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

$\frac{dy}{dx}=y\left(1+e^x\right)$

$\lim_{x\to0}\left(2\sin\left(x\right)^{8\tan\left(x\right)}\right)$

$\left(3x^2+x+1\right)-\left(2x^2-3x-5\right)$

$50i+\frac{di}{dx}=5$