$\frac{dy}{dx}=\frac{y^2-4}{x^2-1}\cdot2$

$\:\frac{x^6+64}{x+2}$

$\frac{2x^4-x^3+x^2-10}{x-3}$

$\left(x+2\right)\cdot\left(x-6\right)\cdot\left(x-1\right)$

$\frac{d}{dy}\left(3x-x^2y^2+2x^3y\right)$

$\lim_{v\to\infty}\left(\frac{6x^4+2x^2+5x}{3x-3x^2+3x^4}\right)$

$3\left(x-2\right)\ge2\left(x+1\right)$