$\frac{1}{-3x}\left(6-2x\right)$

$\left(a^8b^4-6\right)^3$

$\frac{d}{dx}xe^y\:-\:2ycosx\:=-4$

$\lim_{u\to\frac{\pi}{4}}\left(\frac{\left(9tan\left(u\right)-9cot\left(u\right)\right)}{4u-\pi}\right)$

$\int e^{3x}cos4xdx$

$9sec^2\left(x\right)-100cos^2\left(x\right)=100sin^2\left(x\right)$

$\frac{dy}{dx}=6\sqrt{x}e^{2y},\:y\left(1\right)=3$