Calculus 10th Edition

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

Chapter 3 - Applications of Differentiation - 3.1 Exercises: 37

Answer

a) Absolute maximum: $1$ and absolute minimum: $-3$. b) No absolute maximum and absolute minimum: $-3$. c) Absolute maximum: $1$ and no absolute minimum. d) No absolute maximum and no absolute minimum.

Work Step by Step

$f'(x)=2\to f'(x)$ is never $0$ and therefore the absolute extrema have to occur at the endpoints of the interval $f(0)=-3.$ $f(2)=1.$ a) Absolute maximum: $1$ and absolute minimum: $-3$. b) No absolute maximum and absolute minimum: $-3$. c) Absolute maximum: $1$ and no absolute minimum. d) No absolute maximum and no absolute minimum.
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