Calculus (3rd Edition)

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: 57

Answer

$f(x)=5^{x}$ and $a=2$

Work Step by Step

Given $$\lim _{h \rightarrow 0} \frac{5^{2+h}-25}{h} $$ The difference quotient $$\frac{5^{(2+h)}-25}{h}$$ has the form $$\frac{f(a+h)-f(a)}{h}$$ where $f(x)=5^{x}$ and $a=2$.
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