Find by implicit differentiation.
By the chain rule, the left side becomes
(the derivative of )
I have two problems, one, where do the -primes go, and two, how do I solve for it?
The final answer should look like
Now we need to expand and group y' terms on one side. I'll try to move the y' terms on right hand side:
Expand on left side:
Move y' terms on the right and y^2 from right to left:
Factor a y', then divide to solve for it. I hope my algebra does not contain any errors above.