Derivative of x^2+6x-7

1. Differentiate $\left(x^{2} + 6 x\right) - 7$ term by term:

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

      1. Apply the power rule: $x^{2}$ goes to $2 x$

      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: $6$

      The result is: $2 x + 6$

   2. The derivative of the constant $-7$ is zero.

   The result is: $2 x + 6$

The answer is:

$$2 x + 6$$