Solution. Let f(x) = 2^x. We have seen here that:
\begin{align*} \frac{d}{dx} a^x = a^x \ln(a). \end{align*}
\begin{align*} f'(x) = 2^x \ln(2). \end{align*}
\begin{align*} \frac{d}{dx} a^x = a^x \ln(a). \end{align*}
\begin{align*} f'(x) = 2^x \ln(2). \end{align*}