Chapter 11.6, Problem 39E

Work these exercises.

Body Temperature During the course of an illness, a patient's temperature (in degrees Fahrenheit) x hours after the start of the illness is given by

$T\left(x\right)=\frac{10x}{x^2+5}+\mathrm{98.6.}$

Find $T^{\prime }\left(x\right)$.

Evaluate $T^{\prime }\left(x\right)$ at the following times, and interpret your answer:

b. $x=0$;

c. $x=1$;

d. $x=3$.