Derivative of -3x^4+5x^2-6x

1. Differentiate $- 3 x^{4} + 5 x^{2} - 6 x$ 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: $x^{4}$ goes to $4 x^{3}$

      So, the result is: $- 12 x^{3}$

   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: $10 x$

   3. 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: $6$

      So, the result is: $-6$

   The result is: $- 12 x^{3} + 10 x - 6$

The answer is:

$$- 12 x^{3} + 10 x - 6$$