Derivative of y=x2-x+1x-1

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

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

      1. Differentiate $- x + x_{2}$ term by term:

         1. The derivative of the constant $x_{2}$ is zero.

         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: $-1$

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

      The result is: $0$

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

   The result is: $0$

The answer is:

$$0$$