Derivative of log(6)(x^3-4x)

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

   1. Differentiate $x^{3} - 4 x$ term by term:

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

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

         1. Apply the power rule: $x$ goes to $1$

         So, the result is: $-4$

      The result is: $3 x^{2} - 4$

   So, the result is: $\left(3 x^{2} - 4\right) \log{\left(6 \right)}$

The answer is:

$$\left(3 x^{2} - 4\right) \log{\left(6 \right)}$$