Derivative of 17(x)2-17x+15

1. Differentiate $\left(- 17 x + 2 \cdot 17 x\right) + 15$ term by term:

   1. Differentiate $- 17 x + 2 \cdot 17 x$ term by term:

      1. 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: $17$

         So, the result is: $34$

      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: $-17$

      The result is: $17$

   2. The derivative of the constant $15$ is zero.

   The result is: $17$

The answer is:

$$17$$