Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 4 - Review - True-False Quiz - Page 358: 5

Answer

TRUE

Work Step by Step

If the derivative of a function is negative ($f'(x)\lt 0$) on an interval, then the function is decreasing on that interval. If the derivative of a function is negative over an open period, then the function is decreasing over that period. The statement is also true by increasing/decreasing test. Hence, the given statement is true.
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