Implicit Differentiation?

Question

what should you do when dy/dx is on both sides of the equation?
like in this problem
4x^3 +7xy^2 = 2y^3

Answer 1

4x³ +7xy² = 2y³

Differentiate implicitly.

12x² + 7y² + 14xy(dy/dx) = 6y²(dy/dx)
12x² + 7y² = (6y² - 14xy)(dy/dx)
dy/dx = (12x² + 7y²)/(6y² - 14xy)