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## Homework Statement

Given the function f(x)= x(x^2-8)-5 satisfies the hypothesis of the Mean Value Thereom on the interval [1,4], find a number C in the interval (1,4) which satisfies this thereom.

## Homework Equations

f'(c) = f(b)-f(a) / b-a

## The Attempt at a Solution

1) Expand the equation first

2) Find the first derivative.

3) Equal the equation to 1

Apparently, I got the wrong answer. What am I doing wrong?

PLEASE HELP.