$\frac{dy}{dx}=\frac{y-1}{xy}$

$\left(3x+5\right)\left(4x+7\right)$

$\sqrt{\frac{\left(x+1\right)^4\left(x+2\right)^3}{\left(x+3\right)^2}}$

$\tan x\cos x-\sin x\cot x$

$\lim_{x\to0}\left(\frac{x+\tan\left(x\right)}{5+\sin\left(x\right)}\right)$

$\frac{d}{dx}\left(\frac{e^{4x}\sqrt{cos\left(x\right)}}{x^3}\right)$

$\lim_{x\to1}\left(\frac{x-49}{x-7}\right)$