Derivative of √x+√x+√x

1. Differentiate $\sqrt{x} + \left(\sqrt{x} + \sqrt{x}\right)$ term by term:

   1. Differentiate $\sqrt{x} + \sqrt{x}$ term by term:

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

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

      The result is: $\frac{1}{\sqrt{x}}$

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

   The result is: $\frac{3}{2 \sqrt{x}}$

The answer is:

$$\frac{3}{2 \sqrt{x}}$$