The strength of a persons reaction to a certain drug is given by where Q represents the

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The strength of a person’s reaction to a certain drug is given by

where Q represents the quantity of the drug given to the patient and C is a constant.

(a) The derivative R′(Q) is called the sensitivity to the drug. Find R′(Q).

(b) Find the sensitivity to the drug if C = 59 and a patient is given 87 units of the drug.
(c) When Q = 87, is the patient’s sensitivity to the drug increasing or decreasing?

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