Explanation Given information: At exactly two of the labeled point in the given figure, the derivative f ' is 0; the second derivative f ' ' is not zero at any of the labeled points. The given graph is Calculation: The term f ( x ) represents the value of y for the given value of x. The term f ' ( x ) represents the first order derivative i.e. slope of the graph at the given point. The term f ' ' ( x ) is the second order derivative which is negative when the curve is concave down and positive when it is concave up and zero at the point of inflection i.e. where the curve changes it concavity. At the point A , Since the point A lies below the x axis hence f is negative. Since the tangent at the point A is horizontal hence f ' is zero. And since the graph is concave down at A therefore f ' ' is negative. At the point B , Since the point B lies above the x axis hence f is positive. Since the tangent at the point B is horizontal hence f ' is zero. And since the graph is concave up at B therefore f ' ' is positive

Applied Calculus, 6e WileyPLUS + Loose-leaf

6th Edition

ISBN: 9781119408901

Author: Deborah Hughes-Hallett, Andrew M. Gleason, Patti Frazer Lock, Daniel E. Flath

Publisher: Wiley (WileyPLUS Products)

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Question

Chapter 2.4, Problem 23P

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The table shown below with the signs of f,f',f'' at each marked point on the graph.

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Chapter 2.4, Problem 22P

Chapter 2.4, Problem 24P

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Chapter 2 Solutions

Applied Calculus, 6e WileyPLUS + Loose-leaf

Ch. 2.1 - Prob. 1P Ch. 2.1 - Prob. 2P Ch. 2.1 - Prob. 3P Ch. 2.1 - Prob. 4P Ch. 2.1 - Prob. 5P Ch. 2.1 - Prob. 6P Ch. 2.1 - Prob. 7P Ch. 2.1 - Prob. 8P Ch. 2.1 - Prob. 9P Ch. 2.1 - Prob. 10P

Ch. 2.1 - Prob. 11P Ch. 2.1 - Prob. 12P Ch. 2.1 - Prob. 13P Ch. 2.1 - Prob. 14P Ch. 2.1 - Prob. 15P Ch. 2.1 - Prob. 16P Ch. 2.1 - Prob. 17P Ch. 2.1 - Prob. 18P Ch. 2.1 - Prob. 19P Ch. 2.1 - Prob. 20P Ch. 2.1 - Prob. 21P Ch. 2.1 - Prob. 22P Ch. 2.1 - Prob. 23P Ch. 2.1 - Prob. 24P Ch. 2.1 - Prob. 25P Ch. 2.1 - Prob. 26P Ch. 2.1 - Prob. 27P Ch. 2.1 - Prob. 28P Ch. 2.1 - Prob. 29P Ch. 2.1 - Prob. 30P Ch. 2.1 - Prob. 31P Ch. 2.1 - Prob. 32P Ch. 2.1 - Prob. 33P Ch. 2.1 - Prob. 34P Ch. 2.1 - Prob. 35P Ch. 2.1 - Prob. 36P Ch. 2.1 - Prob. 37P Ch. 2.1 - Prob. 38P Ch. 2.1 - Prob. 39P Ch. 2.1 - Prob. 40P Ch. 2.1 - Prob. 41P Ch. 2.2 - Prob. 1P Ch. 2.2 - Prob. 2P Ch. 2.2 - Prob. 3P Ch. 2.2 - Prob. 4P Ch. 2.2 - Prob. 5P Ch. 2.2 - Prob. 6P Ch. 2.2 - Prob. 7P Ch. 2.2 - Prob. 8P Ch. 2.2 - Prob. 9P Ch. 2.2 - Prob. 10P Ch. 2.2 - Prob. 11P Ch. 2.2 - Prob. 12P Ch. 2.2 - Prob. 13P Ch. 2.2 - Prob. 14P Ch. 2.2 - Prob. 15P Ch. 2.2 - Prob. 16P Ch. 2.2 - Prob. 17P Ch. 2.2 - Prob. 18P Ch. 2.2 - Prob. 19P Ch. 2.2 - 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The table shown below with the signs of f , f ' , f ' ' at each marked point on the graph.

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To fill: The table shown below with the signs of f,f',f'' at each marked point on the graph.

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Chapter 2 Solutions

To fill:

The table shown below with the signs of f,f',f'' at each marked point on the graph.