posted by Dylan on .
For some positive constant C, a patient's temperature change, T , due to a dose,D , of a drug is given by T=(c/2-D/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/2-D/3)D
= -1/3 D^2 + CD - 2/3 D^2
= CD - D^2
dT/dD = 0 when CD=D^2, or D=C