Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 3 - Differentiation - 3.2 Exercises: 32

Answer

The Mean Value Theorem does not apply to this function because this function is not differentiable on the open interval $(0, 6)$.

Work Step by Step

The Mean Value Theorem requires that a function must be continuous on the closed interval $[0, 6]$and differentiable on the open interval $(0, 6)$. This function does not satisfy the second condition because the function has a cusp, which is not differentiable, at $x = 2$, which is in the open interval $(0, 6)$. Therefore, the Mean Value Theorem does not apply to this function.
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