Derivative of 5x^2-13x-28

1. Differentiate $5 x^{2} - 13 x - 28$ 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: $10 x$

   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: $x$ goes to $1$

         So, the result is: $13$

      So, the result is: $-13$

   3. The derivative of the constant $\left(-1\right) 28$ is zero.

   The result is: $10 x - 13$

The answer is:

$$10 x - 13$$