Answer
$${3^x}\left( {\ln 3} \right)$$
Work Step by Step
$$\eqalign{
& \frac{d}{{dx}}\left( {{3^x}} \right) \cr
& {\text{Express }}{3^x}{\text{ using the base }}e \cr
& \frac{d}{{dx}}\left( {{3^x}} \right) = \frac{d}{{dx}}\left( {{e^{x\ln 3}}} \right) \cr
& {\text{Differentiate}} \cr
& \frac{d}{{dx}}\left( {{3^x}} \right) = {e^{x\ln 3}}\frac{d}{{dx}}\left( {x\ln 3} \right) \cr
& \frac{d}{{dx}}\left( {{3^x}} \right) = {e^{x\ln 3}}\left( {\ln 3} \right) \cr
& {\text{Where }}{e^{x\ln 3}} = {3^x} \cr
& \frac{d}{{dx}}\left( {{3^x}} \right) = {3^x}\left( {\ln 3} \right) \cr} $$
