Derivative of y=x+sqrtx+3sqrtx

1. Differentiate $3 \sqrt{x} + \left(\sqrt{x} + x\right)$ term by term:

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

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

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

      The result is: $1 + \frac{1}{2 \sqrt{x}}$

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

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

      So, the result is: $\frac{3}{2 \sqrt{x}}$

   The result is: $1 + \frac{2}{\sqrt{x}}$

The answer is: