# Chapter 3 - Differentiation - 3.1 Definition of the Derivative - Exercises - Page 104: 58

$f(x)=5^{x}$ 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 $a=0$.

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