Question
Difference Quotients These exercises involve a difference quotient for an exponential function.If $f(x)=3^{x-1}$, show that$$\frac{f(x+h)-f(x)}{h}=3^{x-1}\left(\frac{3^{h}-1}{h}\right)$$
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This gives us: $$ \frac{f(x+h)-f(x)}{h}=\frac{3^{x+h-1}-3^{x-1}}{h} $$ Show more…
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