Find the implicit derivative $\frac{d}{dx}\left(\arctan\left(x\right)\right)=\frac{1}{1+x^2}$

Find the derivative

$\frac{d}{dx}\left(x^3-3x^2y+2xy^2=12\right)$

Find the derivative

$\frac{d}{dx}\left(y^2\:-\:2y=x\right)$

Find the derivative

$\frac{d}{dx}\left(x^3+y^3=6xy\right)$

Find the derivative

$\frac{d}{dx}\left(x^2+xy-y^2=4\right)$

Find the derivative

$\frac{d}{dx}\left(x^2-xy+y^2=3\right)$

Find the derivative

$\frac{d}{dx}\left(2x^2+3y^2-4xy=36\right)$

Find the derivative

$\frac{d}{dx}\left(x^3-xy+y^2=7\right)$