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: 18

Answer

The absolute maximum is $5$ and the absolute minimum is $2$ over the specified interval

Work Step by Step

$f'(x)=\dfrac{3}{4}.$ Since $f'(x)$ is never equal to $0,$ and is defined for all x in the interval, the absolute extrema have to occur at the endpoints of the interval. $f(0)=2.$ $f(4)=5.$ The absolute maximum is $5$ and the absolute minimum is $2$ over the specified interval .
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