Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 3: Derivatives - Questions to Guide Your Review - Page 177: 5

Answer

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Work Step by Step

Derivatives and one-sided derivatives are related because one-sided derivatives are a specific type of derivative that focuses on the rate of change of a function from one direction. In general, the derivative of a function at a given point measures the rate at which the function is changing at that point. One-sided derivatives specifically consider the behavior of the function from either the left or the right side of a given point. The correct answer option would likely highlight that one-sided derivatives provide insight into how a function changes from one direction, whereas the standard derivative captures the overall rate of change at a particular point. Understanding one-sided derivatives is crucial in situations where the function may not be differentiable from both sides at a given point.
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