Hi everyone. I was working on a problem. Can someone please check whether I did this right?

Let dy/dx = x^2y^2. Find d^2y/dx^2.

This is what I did:

2xy^2+2y*dy/dx*x^2

2xy^2+2x^2y*dy/dx

2xy^2+2x^2y(x^2y^2)

2xy^2+2x^4y^3 This is my answer.

Thanks a lot.