Explanation Given information: A dose response curve is given by R = f ( x ) , where R is percent of maximum response and x is dose of the drug in mg. The curve has shape as below. The inflection point is at ( 15 , 50 ) and f ' ( 15 ) = 11 To determine (b) Whether f ' ( 10 ) is greater than f ' ( 11 ) and if f ' ( 20 ) is greater than f ' ( 11 ) .

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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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:

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Question

Chapter 4.7, Problem 16P

To determine

(a)

What is the meaning f'(15).

To determine

(b)

Whether f'(10) is greater than f'(11) and if f'(20) is greater than f'(11).

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Chapter 4.7, Problem 15P

Chapter 4.7, Problem 17P

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Chapter 4 Solutions

Applied Calculus, 6e WileyPLUS + Loose-leaf

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