Derivative of 3x^2-6x+6

1. Differentiate $3 x^{2} - 6 x + 6$ 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: $6 x$

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

      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: $6$

      So, the result is: $-6$

   3. The derivative of the constant $6$ is zero.

   The result is: $6 x - 6$

The answer is: