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 decreasing and here the ratio of ‘change in y’ to ‘change in x’ is negative

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ISBN: 9781119399353

Author: DA

Publisher: JOHN WILEY+SONS,INC.-CONSIGNMENT

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Chapter 2.4, Problem 9P

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

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Chapter 2.4, Problem 8P

Chapter 2.4, Problem 10P

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Chapter 2 Solutions

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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.