Explanation Given information: The given statement is, “Each derivative is either positive everywhere, zero everywhere, or negative everywhere”. The given function, y = f ( x ) : Calculation: The term d y / d x represents the first order derivative i.e. slope of the graph. By the definition f ' ( x ) = d y / d x = Change in y Change in x As the graph is straight line and here the ratio of ‘change in y’ to ‘change in x’ is negative constant

6th Edition

ISBN: 9781119399322

Author: Hughes-Hallett

Publisher: WILEY

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Chapter 2.4, Problem 6P

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The sign of the first and second derivatives for the function.

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Chapter 2.4, Problem 5P

Chapter 2.4, Problem 7P

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APPLIED CALCULUS (WILEY PLUS)

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The sign of the first and second derivatives for the function.

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Chapter 2 Solutions

To write:

The sign of the first and second derivatives for the function.