Answer:
[tex]\frac{dy}{dx}[/tex] = [tex]\frac{-y}{2y+x}[/tex]
Step-by-step explanation:
Differentiating, y2 + xy = 7, implicitly with respect to x, you find that
2y.[tex]\frac{dy}{dx}[/tex] + y + x.[tex]\frac{dy}{dx}[/tex] = 0
(2y+x) [tex]\frac{dy}{dx}[/tex]=-y
[tex]\frac{dy}{dx}[/tex] = [tex]\frac{-y}{2y+x}[/tex]
