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Q. 21

Expert-verified

Calculus

Found in: Page 260

Book edition 1st

Author(s) Peter Kohn, Laura Taalman

Pages 1155 pages

ISBN 9781429241861

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Short Answer

Find the possibility graph of its derivative f'.

The possibility graph of its derivative f' is

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given

The given information is

Step 2. Explanation

From the above graph the function is decreasing on (- ∞, 0) where f^ prime <0 and increasing at (0, ∞) where f' prime >0 . Therefore, the possible graph of the derivative of above graph is shown below:

The graph of f' prime have roots at x = 0 and x = 2 . The graph of f^ prime should "bounce" off the x axis at x = 2

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