Explanation Given information: The given table is, Calculation: The term d y / d x represents the first order derivative i.e. slope of the graph. By the definition the term d y / d x = Change in y Change in x . We have to figure out whether the derivative of the function is positive or negative over the given interval. The given table is To determine (b) To find: Whether the second derivative of the function appear to be positive or negative for the given interval and explain also.

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 16P

To determine

(a)

To find:

Whether the derivative of the function appear to be positive or negative for the given interval and explain also.

To determine

(b)

To find:

Whether the second derivative of the function appear to be positive or negative for the given interval and explain also.

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Chapter 2.4, Problem 15P

Chapter 2.4, Problem 17P

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Chapter 2 Solutions

Applied Calculus, 6e WileyPLUS + Loose-leaf

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(a) To find: Whether the derivative of the function appear to be positive or negative for the given interval and explain also.

Solution Summary: The author explains that the first derivative of the function is positive over the given interval. The second derivative is negative when the curve is concave down.