Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 3 - Differentiation - 3.1 Definition of the Derivative - Exercises - Page 103: 15


$ f'(5.5)$

Work Step by Step

The slope of the tangent line at x=5.5 in the given figure will be greater than the slope of the tangent line at x=6.5. Since the derivative at a point is defined as the slope of the tangent line at that point, thus $ f'(5.5)$ will be greater than $ f'(6.5)$.
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