Calculus 8th Edition

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

Chapter 2 - Derivatives - Review - Concept Check: 7

Answer

The second derivative of function f represents how f changes. The second derivative of function f represents how the change in f changes, or how the second derivative changes. If f is position, then f' is velocity and f'' is acceleration.

Work Step by Step

Velocity is the change in position with respect to time. Acceleration is the change in velocity with respect to time.
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