One Hour After X Milligrams of a Particular Drug Are $\frac { 5 x ^ { 2 } } { 9 }$

Multiple Choice

One hour after x milligrams of a particular drug are given to a person, the change in body temperature T(x) , in degrees Celsius, is given approximately by: T(x) = $\frac { 5 x ^ { 2 } } { 9 }$ $\left. 1 - \frac { x } { 9 } \right)$ - $\frac { 160 } { 9 }$ , 0 ≤ x ≤ 6. Find the sensitivity, T'(x) , of the body to a dosage of three milligrams.

A) $\frac { 5 } { 3 }$ degrees per milligram
B) - $\frac { 10 } { 9 }$ degrees per milligram
C) - $\frac { 5 } { 3 }$ degrees per milligram
D) - $\frac { 10 } { 27 }$ degree per milligram