Derivative of sqrt(2y)

1. Let $u = 2 y$.

2. Apply the power rule: $\sqrt{u}$ goes to $\frac{1}{2 \sqrt{u}}$

3. Then, apply the chain rule. Multiply by $\frac{d}{d y} 2 y$:

   1. The derivative of a constant times a function is the constant times the derivative of the function.

      1. Apply the power rule: $y$ goes to $1$

      So, the result is: $2$

   The result of the chain rule is:

   $$\frac{\sqrt{2}}{2 \sqrt{y}}$$

The answer is:

$$\frac{\sqrt{2}}{2 \sqrt{y}}$$