Derivative of x-11+2+3*x

1. Differentiate $3 x + \left(\left(x - 11\right) + 2\right)$ term by term:

   1. Differentiate $\left(x - 11\right) + 2$ term by term:

      1. Differentiate $x - 11$ term by term:

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

         2. The derivative of the constant $-11$ is zero.

         The result is: $1$

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

      The result is: $1$

   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: $3$

   The result is: $4$

The answer is:

$$4$$