Find the implicit derivative $\frac{d}{dx}\left(\ln\left(x+y\right)=\arctan\left(xy\right)\right)$

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

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

Find the derivative

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

Find the derivative

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