Derivative of y=(2+x)sqrt3-x

1. Differentiate $- x + \sqrt{3} \left(x + 2\right)$ term by term:

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

      1. Differentiate $x + 2$ term by term:

         1. The derivative of the constant $2$ is zero.

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

         The result is: $1$

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

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

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

      So, the result is: $-1$

   The result is: $-1 + \sqrt{3}$

The answer is:

$$-1 + \sqrt{3}$$