Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 3 - Applications of Differentiation - 3.3 How Derivatives Affect the Shape of a Graph - 3.3 Exercises - Page 230: 55

Answer

$D'(t)>0$, $D''(t)<0$

Work Step by Step

If $D(t)$ is the size of the national deficit as a function of time $t$, then at the time of the speech $D'(t)$ $\gt$ $0$ (since the deficit is increasing) and $D''(t)$ $\lt$ $0$ (since the rate of increase of the deficit is decreasing).
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