Determine if the Mean Value Theorem for Integrals applies to the function f(x) = x3 - 16x on the interval [-1, 1]. If so, find the x-coordinates of the point(s) guaranteed to exist by the theorem.

Answer 1

Since f is continuous and differentiable on the interval, MVT applies.

So, now you just have to find the point(s) c where

f'(c) = [f(1)-f(-1)]/[1-(-1)]

Answer 2

Is the answer -15?