1. ## Calc derivative

A patient's temperature change, T, due to a dose, D, of a drug is given by the following equation. C is a positive constant.
T = (C/2-D/3)D^2

If the sensitivity of the body to the drug is defined by dT/dD, what dosage maximizes sensitivity?
D=

does that mean just find the derivative and solve for D?

2. Originally Posted by bluejewballs
A patient's temperature change, T, due to a dose, D, of a drug is given by the following equation. C is a positive constant.
T = (C/2-D/3)D^2

If the sensitivity of the body to the drug is defined by dT/dD, what dosage maximizes sensitivity?
D=

does that mean just find the derivative and solve for D?
Hello,

Yep, derivate by D, and find D so as to annulate the derivate, meaning that the value will be a minimum or a maximum (or a particular point). You should study the behaviour of the function =)

3. T is y, D is x, C is just a constant

so lets write this question as y = (c/2 - x/3)x^2

Does that make things easier?

-Andy