Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 2 - Review - Concept Check - Page 165: 10

Answer

The expression is $$m_{tan}=\lim_{x\to a}\frac{f(x)-f(a)}{x-a}.$$

Work Step by Step

By definition, the slope of the tangent line of the function $f$ at the point $P(a,f(a))$ is given by $$m_{tan}=\lim_{x\to a}\frac{f(x)-f(a)}{x-a}.$$
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