Derivative of y=x-4x+3x

1. Differentiate $3 x + \left(- 4 x + x\right)$ term by term:

   1. Differentiate $- 4 x + x$ term by term:

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

      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: $-4$

      The result is: $-3$

   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: $3$

   The result is: $0$

The answer is:

$$0$$