Calculus 8th Edition

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

Chapter 2 - Derivatives - Review - Concept Check - Page 195: 3

Answer

See below

Work Step by Step

a) the average rate of change over an interval is simple the slope formula or $$\triangle y/\triangle x = \frac{f(x_1)-f(x_2)}{x_1-x_2}$$ b) the instantaneous rate: $$\lim\limits_{x \to 0}\triangle y/\triangle x = \lim\limits_{x_1 \to x_2}\frac{f(x_1)-f(x_2)}{x_1-x_2}$$
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