Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 2 - Differentiation - 2.1 Exercises - Page 104: 43

Answer

See graph

Work Step by Step

The leftmost part of the graph appears to have a slight downward slope, so the derivative must be a little less than zero. Then the graph gradually decreases at steeper slope, causing the derivative to decrease. At $x=0$, the graph switches from decreasing to increasing, so the derivative should switch from negative to positive instantly. On the right half of the graph, the slope gradually decreases, resulting in the derivative also decreasing towards zero.
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