Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 4: Applications of Derivatives - Section 4.2 - The Mean Value Theorem - Exercises 4.2 - Page 198: 49


$8.5 ^\circ/sec$

Work Step by Step

Suppose $f(t)$ is the reading of the thermometer at time $t$. Thus, $f(0)=-19$ and $f(14)=100$ Need to use The Mean Value Theorem which states that $f'(c)=\dfrac{f(b)-f(a)}{b-a}$ and $f'(c)=\dfrac{f(14)-f(0)}{(14-0)}=\dfrac{119}{14}=8.5 ^\circ/sec$
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