Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 3 - Applications of Differentiation - 3.3 How Derivatives Affect the Shape of a Graph - 3.3 Exercises - Page 227: 3

Answer

a) Increasing/Decreasing (I/D) Test. b) Concavity Test. c) Concavity change

Work Step by Step

a) Use the Increasing/Decreasing (I/D) Test. b) Use the Concavity Test. c) At any value of $x$ where the concavity changes, we have an inflection point at $(x,f(x))$.
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