Chapter 2.1, Problem 5QCE

Suppose that $y=x^2+x$ .

(a) The average rate of change of $y$ with respect to $x$ over the interval $2\le x\le 5$ is $\text{\_\_\_\_\_\_\_}\text{.}$

(b) The instantaneous rate of change of $y$ with respect to $x$ at $x=2,r_{\text{inst}}$ , is given by the limit $\text{\_\_\_\_\_\_\_}$ .