Single Variable Calculus, Chapter 3, 3.1, Section 3.1, Problem 47

The table below shows the Temperature $T$(in$^\circ\rm{F}$) in Oklahoma $t$ hours after
midnight on June 12, 2003. Estimate the value of $T'(10)$ and state what does that mean.



$
\begin{array}{|c|c|c|c|c|c|c|c|c|}
\hline\\
t & 0 & 2 & 4 & 6 & 8 & 10 & 12 &14\\
\hline\\
T & 73 & 73 & 70 & 69 & 72 & 81 & 88 & 91\\
\hline
\end{array}
$







Based from the graph, $\displaystyle T'(10) \approx 3.9\frac{^\circ\rm{F}}{\rm{hour}}$. This means the rate at which
the temperature around 10:00 AM is increasing by $\displaystyle 3.9\frac{^\circ\rm{F}}{\rm{hour}}$. Also,
it shows in the graph that the temperature starts increasing at 6:00 AM in the morning.