Three interactive solutions are given: use of the prime, the operator $\frac{d}{\mathrm{dx}}$, and the Context Panel.

The derivative of $a^{u\left(x\right)}$ is $a^{u\left(x\right)}\ln \left(a\right) u\prime \left(x\right)$, obtained by an application of the Chain rule. Thus, $\frac{1}{2\sqrt{x}}$, the derivative of $u\left(x\right)\=\sqrt{x}$, appears in the answer.

The reader should feel free to explore this differentiation via the  tutor, where Maple begins by rewriting $g\left(x\right)$ as $e^{\ln \left(3\right)\sqrt{x}}$. (Take the log of $g$, then exponentiate it.)