Answer
$\frac{-1}{xa}$
Work Step by Step
$\frac{f(x)-f(a)}{x-a}=\frac{\frac{1}{x}-\frac{1}{a}}{x-a}=\frac{\frac{a-x}{xa}}{x-a}=\frac{a-x}{xa(x-a)}=\frac{-1}{xa}$
Calculus 8th Edition
by Stewart, James
Published by
Cengage
ISBN 10:
1285740629
ISBN 13:
978-1-28574-062-1
Chapter 1 - Functions and Limits - 1.1 Four Ways to Represent a Function - 1.1 Exercises - Page 21: 29
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