Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 4 - Applications of the Derivative - 4.2 Extreme Values - Exercises - Page 180: 3



Work Step by Step

Let c be the critical point. This implies f'(c)=0 or f is not differentiable at c. Since this function is a polynomial function, it is differentiable everywhere. Now, let f'(c) be 0. That is, 2c-2 = 0. ⇒ 2c= 2 ⇒ c= 1.
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