$\left(\frac{dy}{dt}\right)=\left(\frac{y+1}{t}\right)^2$

$5xy^2\:and\:-2xy$

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

$\left(6\frac{1}{3}-2\frac{1}{4}\right)\left(3\left(-2\right)^2-\frac{1}{2}^3\right)$

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

$\frac{1}{\cos^2\left(x\right)}+\left(1+\tan\left(x\right)\right)\cdot\left(1-\tan\left(x\right)\right)$

$t^2-12t+32$