An individual with a certain disease is given an amount x of a drug, x > 0. The probability of her being cured is given by √√x 5(1+x) P(x) = Enter the derivative, P'(x) = Enter the critical number: x = If x is less than the critical number, is the function increasing or decreasing? If x is larger than the critical number, is the function increasing or decreasing? Find the value of x that maximizes the chances of a cure. x =

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter5: Graphs And The Derivative
Section5.CR: Chapter 5 Review
Problem 13CR
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An individual with a certain disease is given an amount x of a drug, x > 0. The probability of her being cured is given by
√x
5(1+x)
P(x) =
Enter the derivative, P'(x) =
Enter the critical number: x =
If x is less than the critical number, is the function increasing or decreasing?
If x is larger than the critical number, is the function increasing or decreasing?
number.
Find the value of x that maximizes the chances of a cure.
X=
Transcribed Image Text:An individual with a certain disease is given an amount x of a drug, x > 0. The probability of her being cured is given by √x 5(1+x) P(x) = Enter the derivative, P'(x) = Enter the critical number: x = If x is less than the critical number, is the function increasing or decreasing? If x is larger than the critical number, is the function increasing or decreasing? number. Find the value of x that maximizes the chances of a cure. X=
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