I do not know how to find the answer to:

dy/dx for x^2 y^2-xy = 2

Do you know how to differentiation functions

**implicitly**?

Observe that \(\displaystyle \frac{\,d}{\,dx}\left[xy\right]=x\frac{\,d}{\,dx}\left[y\right]+y\frac{\,d}{\,dx}\left[x\right]=x\frac{\,dy}{\,dx}+y\).

Can you apply this idea when differentiating \(\displaystyle x^2y^2\)?

Once you do that, combine the two results and solve for \(\displaystyle \frac{\,dy}{\,dx}\), as if it was a variable.

Can you take it from here?