Derivative of 3x^2-12x

1. Differentiate $3 x^{2} - 12 x$ 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: $6 x$

   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: $-12$

   The result is: $6 x - 12$

The answer is:

$$6 x - 12$$