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 - 3.4 Exercises - Page 193: 60

Answer

$f'"(x)$ is undefined at the inflection point. Graph of the Function:

Work Step by Step

b.) The graph is undefined at the inflection point since $f''(x)$ has a vertical asymptote at x = 0. a.) The graph of all of the functions is shown below. In RED is $f(x)$ and in PURPLE is $f'(x)$ and in BLACK is $f''(x)$.
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