Answer
$f(x)=5^{x}$ and $a=0$
Work Step by Step
Compare the difference quotient
$$\frac{5^{h}-1}{h}$$ with $$\frac{f(a+h)-f(a)}{h}$$
Then we get
$f(x)=5^{x}$ and $a=0$.
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 3 - Differentiation - 3.1 Definition of the Derivative - Exercises - Page 104: 58
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