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: 44

Answer

See graph

Work Step by Step

The slope of the graph near $x=-2$ is very high, but it quickly decreases towards zero. At $x=0$ the line tangent to the graph has a slope of zero so the derivative at $x=0$ must also be zero. Then the derivative decreases all the way towards negative infinity.
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