The reaction of the body to a dose of medicine can sometimes be represented by an equation of the form R= where C is a positive constant and M is the amount of medicine absorbed in the blood. If the reacti I the reaction is a change in temperature, R is measured in degrees, and so on. dR Find the amount of medicine to which the body is most sensitive by finding the value of M that maximizes the derivative dM The value of M that maximizes the derivative is dM Type an expression using C as the variable )

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The reaction of the body to a dose of medicine can sometimes be represented by an equation of the form R= M²
,where C is a positive constant and M is the amount of medicine absorbed in the blood. If the reaction is a change in blood pressure, R is measured in millimeters of mercury.
If the reaction is a change in temperature, Ris measured in degrees, and so on.
dR
Find the amount of medicine to which the body is most sensitive by finding the value of M that maximizes the derivative
dM
dR
The value of M that maximizes the derivative
dM
(Type an expression using C as the variable.)
Transcribed Image Text:The reaction of the body to a dose of medicine can sometimes be represented by an equation of the form R= M² ,where C is a positive constant and M is the amount of medicine absorbed in the blood. If the reaction is a change in blood pressure, R is measured in millimeters of mercury. If the reaction is a change in temperature, Ris measured in degrees, and so on. dR Find the amount of medicine to which the body is most sensitive by finding the value of M that maximizes the derivative dM dR The value of M that maximizes the derivative dM (Type an expression using C as the variable.)
Expert Solution
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Given:

R=M2C2-M3

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