Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 2 - Section 2.8 - The Derivative as a Function - 2.8 Exercises - Page 162: 17

Answer

We can see a graph of $f'(x)$ below the graph of $f(x)$ $f'(x) = e^x$

Work Step by Step

$f(x) = e^x$ We can see a graph of $f'(x)$ below the graph of $f(x)$ $f'(x) \gt 0$ for all $x$ because $f$ is an increasing function. $f'(x) = 1~$ at $~x=0$ It seems that $f'(x) = e^x$
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