Chapter 13.3, Problem 2E

To determine

To evaluate: The value of the average rate of change of function $f$ between the numbers $x$ and $a$ is $\frac{\left(\underset{\_}{}\right)-\left(\underset{\_}{}\right)}{\left(\underset{\_}{}\right)-\left(\underset{\_}{}\right)}$. The limit of average rates of change as x approaches a is the _______rate of change of y with respect to x at $x=a$: this is also the derivative $f^{\prime }\left(\underset{\_}{}\right)$.