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
$$m_{tan}=\lim_{x\to a}\frac{f(x)-f(a)}{x-a}.$$
Calculus: Early Transcendentals 8th Edition
by Stewart, James
Published by
Cengage Learning
ISBN 10:
1285741552
ISBN 13:
978-1-28574-155-0
Chapter 2 - Review - Concept Check - Page 165: 10
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