Explanation Given information: When f ( 25 ) = 10 gallons and f ′ ( 25 ) = 2 gallons then at t = 25 the function defined f changes at a rate of 20 % per minute. Consider the figure that f ( 25 ) = 10 gallons and f ′ ( 25 ) = 2 gallons . Begin with the definition of the relative rate of change. The relative rate of change of a function f ( x ) is given by the ratio of the first derivative f ' ( x ) of the function to the function f ( x )

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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Chapter 2, Problem 52SYU

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If the statement, “when f(25)=10 gallons and f′(25)=2 gallons then at t=25 the function defined f changes at a rate of 20% per minute.” is true or false.

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Chapter 2, Problem 51SYU

Chapter 2, Problem 53SYU

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Applied Calculus, 6e WileyPLUS + Loose-leaf

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If the statement, “when f ( 25 ) = 10 gallons and f ′ ( 25 ) = 2 gallons then at t = 25 the function defined f changes at a rate of 20 % per minute.” is true or false.

Solution Summary: The author explains the relative rate of change of a function f(x).

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If the statement, “when f(25)=10 gallons and f′(25)=2 gallons then at t=25 the function defined f changes at a rate of 20% per minute.” is true or false.

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Chapter 2 Solutions