Derivative of 2-3x+x^3

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

   1. Differentiate $2 - 3 x$ term by term:

      1. The derivative of the constant $2$ 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: $-3$

      The result is: $-3$

   2. Apply the power rule: $x^{3}$ goes to $3 x^{2}$

   The result is: $3 x^{2} - 3$

The answer is:

$$3 x^{2} - 3$$