Answer
(a)
$H'(58)$ is the rate at which the daily heating cost changes with respect to temperature when the outside temperature is
$58 ◦F$. The units are dollars\ $◦F$.
(b)
So we would expect $H'(58)$ to be negative
Work Step by Step
(a)
$H'(58)$ is the rate at which the daily heating cost changes with respect to temperature when the outside temperature is
$58 ◦F$. The units are dollars\ $◦F$.
(b)
If the outside temperature increases, the building should require less heating, so we would expect $H'(58)$ to be negative
