The problem: (it took me few minutes to understand your problem)
the derivative will be solved by using the product rule:
Thus, the result will be:
So, I'm given the equation:
(x^2+y^2)^2 = 4x^2y
The right side of the equation is easy enough, it requires the chain rule, so it becomes:
Now, the left side of the equation. My textbook lists it as 4x^2(dy/dx)+8xy.
My question is, is there some kind of rule for what's happening there, because I don't really understand? At first I tried to apply the product rule, but I guess that was wrong. If someone could clear up what exactly is happening there, that would be great!