# Implicit differentiation

(x^2-y^2)^2=(x+y)^3
I tried to use the chain rule on both sides but it didn't work because y needs to have the chain rule used on it explicitly and if i differentiate y explicitly then use the chain rule on everything i would be finding the 2nd derivative. So how do i differentiate this?

D H
Staff Emeritus
For starters, what is the derivative with respect to x of $(x^2-y^2)^2$? Of $(x+y)^3$?