Differentiate the function. \[ \begin{array}{l} y=e^{k \tan \sqrt{3 x}} \\ y^{\prime}(x)= \end{array} \]

Step 1 ：Given the function \(y=e^{k \tan \sqrt{3 x}}\), we are asked to find its derivative.

Step 2 ：To find the derivative of the function, we need to use the chain rule. The chain rule is a formula to compute the derivative of a composite function. The outer function is the exponential function and the inner function is \(k \tan \sqrt{3x}\).

Step 3 ：We first differentiate the outer function and then multiply it by the derivative of the inner function.

Step 4 ：Applying the chain rule, we get the derivative of the function as \(\frac{\sqrt{3}k(\tan(\sqrt{3}\sqrt{x})^2 + 1)e^{k\tan(\sqrt{3}\sqrt{x})}}{2\sqrt{x}}\).

Step 5 ：\(\boxed{y^{\prime}(x)=\frac{\sqrt{3}k(\tan(\sqrt{3}\sqrt{x})^2 + 1)e^{k\tan(\sqrt{3}\sqrt{x})}}{2\sqrt{x}}}\) is the final answer.