Derivative of y=x²+5x-8

1. Differentiate $x^{2} + 5 x - 8$ 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: $5$

   3. The derivative of the constant $\left(-1\right) 8$ is zero.

   The result is: $2 x + 5$

The answer is:

$$2 x + 5$$