Derivative of 10x^2-60x+100

1. Differentiate $\left(10 x^{2} - 60 x\right) + 100$ term by term:

   1. Differentiate $10 x^{2} - 60 x$ 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: $x^{2}$ goes to $2 x$

         So, the result is: $20 x$

      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: $20 x - 60$

   2. The derivative of the constant $100$ is zero.

   The result is: $20 x - 60$

The answer is:

$$20 x - 60$$