Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 3 - Applications of Differentiation - Review - True-False Quiz - Page 285: 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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