To evaluate: The maximum concentration of the drug.
The maximum concentration of the drug is .
The concentration of the drug in the patient bloodstream after minute is given by the function , where .
The function of the concentration of the drugs in the patient bloodstream is given by,
The standard form of function,
The maximum or minimum value of the function occurs at,
If , then the minimum value is .
If , then the maximum value is .
From the equation (1) and (2),
Substitute for and for in the equation (3),
The time taken to reach maximum concentration is .
The function has maximum value,
Substitute for in the equation (1) for the maximum concentration,
The maximum concentration of the drugs after minutes is .
Thus, the maximum concentration of the drug is .
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