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

1. Differentiate $x^{4} - 6 x^{2} + 5$ term by term:

   1. Apply the power rule: $x^{4}$ goes to $4 x^{3}$

   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: $x^{2}$ goes to $2 x$

         So, the result is: $12 x$

      So, the result is: $- 12 x$

   3. The derivative of the constant $5$ is zero.

   The result is: $4 x^{3} - 12 x$

2. Now simplify:

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

The answer is:

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