Derivative of f(x)=6x³-9x+4

1. Differentiate $6 x^{3} - 9 x + 4$ 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: $x^{3}$ goes to $3 x^{2}$

      So, the result is: $18 x^{2}$

   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: $9$

      So, the result is: $-9$

   3. The derivative of the constant $4$ is zero.

   The result is: $18 x^{2} - 9$

The answer is:

$$18 x^{2} - 9$$