Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 4 - Applications of the Derivative - 4.2 What Derivatives Tell Us - 4.2 Exercises - Page 256: 1

Answer

Assuming that the function $f$ is continuous and differential at all interior points of interval $I$: $\bullet$ $f$ is increasing on $I$ if $f'(x) > 0$ at all interior points of $I$. $\bullet$ $f$ is decreasing on $I$ if $f'(x) < 0$ at all interior points of $I$.

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