Answer
We know that $f(x)=a^x$. Then the difference quotient:
$\frac{f(x+h)-f(x)}{h}=\frac{a^{x+h}-a^x}{h}=\frac{a^x(a^h-1)}{h}=a^x\frac{a^h-1}{h}$.
Work Step by Step
We know that $f(x)=a^x$. Then the difference quotient:
$\frac{f(x+h)-f(x)}{h}=\frac{a^{x+h}-a^x}{h}=\frac{a^x(a^h-1)}{h}=a^x\frac{a^h-1}{h}$.
