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: 89

Answer

Curve-A is the derivative of curve-B.

Work Step by Step

If we draw tangent lines to the curves, we can see that the slopes of the tangent lines to curve-A would all be negative which does not agree with curve-B. Thus curve-A is the derivative of curve-B with its maximum (derivative=0) corresponding to the origin of curve-A.
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