$\frac{4n^3+n^2+3n}{n+1}$

$\frac{dy}{dx}\left(x^22y^3\right)=xy$

$8=2+g$

$\lim_{x\to\infty}\left(\frac{e^{-x}}{ln\left(1+7e^{-x}\right)}\right)$

$\frac{1-\cos^2\left(y\right)}{2\sin\left(y\right)\cos\left(y\right)}=\tan\left(y\right)$

$2y\frac{dy}{dx}+x=10x^{\frac{1}{2}}$

$\frac{dy}{dx}=-\frac{\cos\left(x\right)}{y}$