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Q. 24

Expert-verified

Found in: Page 261

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. Calculation

From the above graph, f'>0 at (- ∞, - 1) and (2, ∞) ; the function is increasing from (- ∞, - 1) and (2, ∞) ; the graph f' <0 at (-1,2) where the function is decreasing.

Most popular questions for Math Textbooks

Explain the difference between two antiderivatives of the function.

Sketch careful, labeled graphs of each function f in Exercises 63–82 by hand, without consulting a calculator or graphing utility. As part of your work, make sign charts for the signs, roots, and undefined points of $f, f', a n d f'',$ and examine any relevant limits so that you can describe all key points and behaviors of f.

$f (x) = x^{3} (x + 2)$

Use a sign chart for $f^{'}$ to determine the intervals on which each function $f$ is increasing or decreasing. Then verify your algebraic answers with graphs from a calculator or graphing utility.

$f (x) = l n (l n (x))$

Find the critical points of the function

$f^{'} (x) = \sqrt{1 + x^{2}} - 4$

Find the critical points of each function f .Then use a graphing utility to determine whether f has a local minimum, a local maximum, or neither at each of these critical point. $f (x) = x^{3} + x^{2} + 1$

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Calculus

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Short Answer

Find the possibility graph of its derivative f'.

Step by Step Solution

Step 1. Given

Step 2. Calculation

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Calculus

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Short Answer

Find the possibility graph of its derivative f'.

Step by Step Solution

Step 1. Given

Step 2. Calculation

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