Find $\frac{dy}{dx}by$ implicit differentiation.

$x^2-12xy+y^2=12$

Step $1$

Recall that the method $of$ implicit differentiation consists $of$ differentiating both sides $ofan$ equation with respect $tox$ and then solving the resulting equation for $\frac{dy}{dx}.$

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

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

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