Derivative of 6x-6x^2

1. Differentiate $- 6 x^{2} + 6 x$ 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: $6$

   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: $- 12 x$

   The result is: $6 - 12 x$

The answer is:

$$6 - 12 x$$