Derivative of -x^2+3x-2

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

   1. Differentiate $- x^{2} + 3 x$ term by term:

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

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

         So, the result is: $- 2 x$

      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: $3 - 2 x$

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

   The result is: $3 - 2 x$

The answer is:

$$3 - 2 x$$