Question

Please help!!!
Use implicit differentiation to find dy/dy of x^3+xy=y^2-1

Answer 1

dy/dy?...

Answer 2

\[\large x^3+xy=y^2-1\]
IMPLICIT DIFFERENTIATION:
\[\large D_{x}(x^3+xy)=D_{x}(y^2-1)\]
\[\large 3x^2+y+x(\frac{dy}{dx})=2y(\frac{dy}{dx})\]
\[\large 3x^2+y=\frac{dy}{dx}(2y-x)\]
\[\large \frac{dy}{dx}=\frac{3x^2+y}{2y-x}\]