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 dT/dD. What dosage maximizes sensitivity?
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 dT/dD. What dosage maximizes sensitivity?
@Mathematics

Question

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 dT/dD. What dosage maximizes sensitivity?
 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 dT/dD. What dosage maximizes sensitivity?
 @Mathematics

blockcolder · Answer

This your T(D)?
$$T=\left({C \over 2}-{D \over 3}\right)D^2$$