Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 4 - Applications of the Derivative - 4.1 Maxima and Minima - 4.1 Exercises - Page 243: 42

Answer

(a). $f'(x) = \frac{2}{3}x^{−1/3} $, which is never zero. However, there is a point in the domain (namely $(0, 0)$) where the derivative doesn’t exist. So this is the only critical point. (b). We have $f(−8) = 4 = f(8)$, and $f(0) = 0$. So the absolute maximum of $f$ on this interval is $4$ and the absolute minimum is $0$.

Work Step by Step

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