Chapter 3.6, Problem 258E

For the following exercises, use the information in the following table to find $h\text{'}\left(a\right)$ at the given value for a.

$x$	$f\left(x\right)$	$f\text{'}\left(x\right)$	$g\left(x\right)$	$g\text{'}\left(x\right)$
0	2	5	0	2
1	1	-2	3	0
2	4	4	1	-1
3	3	-3	2	3

258. [T] The daily temperature in degree Fahrenheit of Phoenix in the summer can be modeled by the function $T\left(x\right)=94-10\cos \left[\frac{\pi }{12}\left(x-2\right)\right]$ , where x is hours after midnight. Find the rate at which the temperature is changing at 4 p.m.