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Q. 22

Expert-verified
Calculus
Found in: Page 260
Calculus

Calculus

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

Step 1. Given 


The given information is

Step 2. Explanation

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

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

axis at x = 2

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