$\frac{d y}{d x}(2 y)$

Step 1 ：The question is asking for the derivative of the function \(2y\) with respect to \(x\). Since \(y\) is a function of \(x\), we need to use the chain rule to find the derivative. The chain rule states that the derivative of a composite function is the derivative of the outer function times the derivative of the inner function. In this case, the outer function is \(2y\) and the inner function is \(y\).

Step 2 ：The derivative of the function \(2y\) with respect to \(x\) is \(2\frac{dy}{dx}\). This is because the derivative of \(2y\) with respect to \(y\) is \(2\), and then we multiply by the derivative of \(y\) with respect to \(x\), which is \(\frac{dy}{dx}\), according to the chain rule.

Step 3 ：Final Answer: \(\boxed{2\frac{dy}{dx}}\)