Answer to Question #182120 in Calculus for Eva

Question

xy^2 +5 = 9x−3y^2

Answer 1

xy^2 +5 = 9x−3y^2

Differentiation with respect to x

$x\times2y\frac {dy}{dx}+6y\frac{dy}{dx}=9-y^2$

$(2xy+6y)\frac{dy}{dx}=9-y^2$

$\frac{dy}{dx}=\frac{9-y^2}{2xy+6y}$