Derivative of 5x³-60x-23

1. Differentiate $\left(5 x^{3} - 60 x\right) - 23$ term by term:

   1. Differentiate $5 x^{3} - 60 x$ 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: $x^{3}$ goes to $3 x^{2}$

         So, the result is: $15 x^{2}$

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

         1. Apply the power rule: $x$ goes to $1$

         So, the result is: $-60$

      The result is: $15 x^{2} - 60$

   2. The derivative of the constant $-23$ is zero.

   The result is: $15 x^{2} - 60$

The answer is:

$$15 x^{2} - 60$$