Answer
$5^x(\frac{5^h-1}{h})$
Work Step by Step
$\frac{f(x+h)-f(x)}{h}=\frac{5^{x+h}-5^x}{h}=\frac{5^x\cdot5^h-5^x}{h}=5^x(\frac{5^h-1}{h})$
Calculus: Early Transcendentals 8th Edition
by Stewart, James
Published by
Cengage Learning
ISBN 10:
1285741552
ISBN 13:
978-1-28574-155-0
Chapter 1 - Section 1.4 - Exponential Functions - 1.4 Exercises - Page 54: 23
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