..The exact wording of the problem is: "Determine the slope of the normal line to the curve at the point "

Now since finding the slope is the same thing as finding the derivative, I assumed that I would need to take the derivative of the problem, aka use implicit differentiation.

I got: Mr F says: The red term is wrong.

Which would mean that

However, when I plugged in and , I got , which was not among the answer choices of , , , , or .