This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise The reaction R to an injection of a drug is related to the dosage x (in milligrams) according to R(x) = x2(370 - ) where 740 mg is the maximum dosage. If the rate of reaction with respect to the dosage defines the sensitivity to the drug, find the sensitivity. Step 1 We are given that the reaction R to an injection of a drug is related to the dosage x (in milligrams) according to R(x) = x2(370 - ) where 740 mg is the maximum dosage. We want to find the sensitivity to the drug, which is defined as the rate of change of reaction with respect to the dosage. Thus, we want to find R'(x). Since R(x) is a product of two functions, we can find the derivative by using the --Select-- ) Rule. R) = (-)• (370 - )(C 1 R'(x) = x2 =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section: Chapter Questions
Problem 16T
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The reaction R to an injection of a drug is related to the dosage x (in milligrams) according to

R(x) = x2
 
370 − 
x
3
 
 

where 740 mg is the maximum dosage. If the rate of reaction with respect to the dosage defines the sensitivity to the drug, find the sensitivity.

This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped
part.
Tutorial Exercise
The reaction R to an injection of a drug is related to the dosage x (in milligrams) according to
R(x) = x2(370
- )
where 740 mg is the maximum dosage. If the rate of reaction with respect to the dosage defines the
sensitivity to the drug, find the sensitivity.
Step 1
We are given that the reaction R to an injection of a drug is related to the dosage x (in milligrams) according
to
R(x) = x2(370
- )
where 740 mg is the maximum dosage. We want to find the sensitivity to the drug, which is defined as the
rate of change of reaction with respect to the dosage. Thus, we want to find R'(x). Since R(x) is a product of
two functions, we can find the derivative by using the --Select-- ) Rule.
R) = (-)• (370 - )(C
1
R'(x)
= x2
=
Transcribed Image Text:This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise The reaction R to an injection of a drug is related to the dosage x (in milligrams) according to R(x) = x2(370 - ) where 740 mg is the maximum dosage. If the rate of reaction with respect to the dosage defines the sensitivity to the drug, find the sensitivity. Step 1 We are given that the reaction R to an injection of a drug is related to the dosage x (in milligrams) according to R(x) = x2(370 - ) where 740 mg is the maximum dosage. We want to find the sensitivity to the drug, which is defined as the rate of change of reaction with respect to the dosage. Thus, we want to find R'(x). Since R(x) is a product of two functions, we can find the derivative by using the --Select-- ) Rule. R) = (-)• (370 - )(C 1 R'(x) = x2 =
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