$\frac{dy}{dx}=-12xy$

$\frac{d}{dx}7x^2-2$

$\lim_{x\to\infty}\left(\frac{\left(ln\left(2x+9\right)\right)}{ln\left(6x+8\right)+10}\right)$

$\frac{4x^3+6x^2-10x+8}{x-4}$

$\int\frac{t^3}{\left(2t^4+7\right)^3}dt$

$-\left(0.1w-3\right)$

$\frac{\left(1+cot^2x\right)}{\left(1+cosecx\right)}=cosecx$