(adsbygoogle = window.adsbygoogle || []).push({}); Calculus Help: Mean Value Theorem

Let

f(x) = x^3 - x

on the interval [2,3]. Find all numbers c in the interval (2,3) that satisfy the conclusion of the mean-value theorem.

Here's what I did:

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

f '(c) = f(3^3 - 3) - f(2^3 - 2) / (3-2)

= 18, but it's incorrect.

What am I doing wrong? Please help.

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# Homework Help: Calulus Help: Mean Value Theorem

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