CALCULUS
posted by Dylan .
For some positive constant C, a patient's temperature change, T , due to a dose,D , of a drug is given by T=(c/2D/3)D^2
What dosage maximizes the temperature change
The sensitivity of the body to the drug is defined as . What dosage maximizes sensitivity?

dT/dD = (1/3)D^2 + 2(C/2D/3)D
= 1/3 D^2 + CD  2/3 D^2
= CD  D^2
dT/dD = 0 when CD=D^2, or D=C
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