The reaction R to an injection of a drug is related to the dosage x (in milligrams) according to R(e) =x2(370 - 즉) 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. () • (70 - 5)([ 1 R'(x) = x
The reaction R to an injection of a drug is related to the dosage x (in milligrams) according to R(e) =x2(370 - 즉) 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. () • (70 - 5)([ 1 R'(x) = x
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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Question
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.
Transcribed Image Text:The reaction R to an injection of a drug is related to the dosage x (in milligrams) according to
R(e) =x2(370 - 즉)
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.
() • (70 - 5)([
1
R'(x)
= x
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