Implicit Differentiation: Solving for dy/dx in (x^2-y^2)^2=(x+y)^3

[Ry122]

(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]

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

 

[Defennder]

What does the question ask of you? That you find dy/dx as a function of x only, or simply to implicitly differentiate it?