Derivative of f(x)=2x³-x²

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

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

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

      So, the result is: $- 2 x$

   The result is: $6 x^{2} - 2 x$

2. Now simplify:

   $$2 x \left(3 x - 1\right)$$

The answer is:

$$2 x \left(3 x - 1\right)$$