Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 3: Derivatives - Practice Exercises - Page 179: 90

Answer

Curve-B is the derivative of curve-A.

Work Step by Step

If we draw tangent lines to the curves, we can see that the slopes of the tangent lines to curve-B would all be negative which does not agree with curve-A. Thus curve-B is the derivative of curve-A. The derivative of curve-A has large positive values when x is small and decreases when x is large.
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