Question

Find all points of inflection: f(x)=(1/12)x^4-2x^2+15. I know that f"(x)=x^2-4 but what to do after that? Is (2, 0), (-2, 0) the answer?

Answer 1

to get the x-coordinate of the point of inflection, set the 2nd derivative to zero, and solve x.
whatever x you get, sub it in f(x) to give you the y-coordinate.

Answer 2

Thank you.