Answer
We can estimate the values of $H'$:
$t = 14: H'(t) = \frac{13}{7}$
$t = 21: H'(t) = \frac{23}{14}$
$t = 28: H'(t) = \frac{9}{7}$
$t = 35: H'(t) = 1$
$t = 42: H'(t) = \frac{11}{14}$
$t = 49: H'(t) = \frac{5}{7}$
We can use the estimates of $H'(t)$ to sketch the graph of $H'(t)$
Work Step by Step
We can estimate the values of $H'$:
$t = 14: H'(t) = \frac{54-41}{7} = \frac{13}{7}$
$t = 21: H'(t) = \frac{64-41}{14} = \frac{23}{14}$
$t = 28: H'(t) = \frac{72-54}{14} = \frac{9}{7}$
$t = 35: H'(t) = \frac{78-64}{14} = 1$
$t = 42: H'(t) = \frac{83-72}{14} = \frac{11}{14}$
$t = 49: H'(t) = \frac{83-78}{7} = \frac{5}{7}$
We can use the estimates of $H'(t)$ to sketch the graph of $H'(t)$
