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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?

  • CALCULUS - ,

    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

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