Question

Find the point(s) where the tangent to the graph of f(x) = -x + 2/(x^2) is horizontal.

Answer 1

Would the x of this be the one that makes the derivative = 0?

Answer 2

exactly!

Answer 3

My god, I can be taught!

Answer 4

Just to check, do I then plug that x into the original equation to get the y?

Answer 5

Sorry, I was offline. :)

Yes, this too.
So find the values of x0 where f'(x0)=0, and find the corresponding points will then be (x0, f(x0)).