Derivative of 2x-3x^2

1. Differentiate $- 3 x^{2} + 2 x$ 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: $x$ goes to $1$

      So, the result is: $2$

   2. 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: $- 6 x$

   The result is: $2 - 6 x$

The answer is:

$$2 - 6 x$$