# Implicit differentiation

by aanandpatel
Tags: implicit diff., stationary point
 Math Emeritus Sci Advisor Thanks PF Gold P: 39,503 You have two equations, $$x^3 + (3x^2)(y) -2y^3=16$$ and $$(x^2 + 2xy) / (2y^2 - x^2)= 0$$ to solve for x and y. The second equation can easily be solved for y in terms of x since a fraction is equal to 0 if and only if the numerator is 0.