Derivative of -3x³+2x²-x-5

1. Differentiate $- 3 x^{3} + 2 x^{2} - x - 5$ 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: $- 9 x^{2}$

   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: $4 x$

   3. 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: $-1$

   4. The derivative of the constant $\left(-1\right) 5$ is zero.

   The result is: $- 9 x^{2} + 4 x - 1$

The answer is:

$$- 9 x^{2} + 4 x - 1$$