### Home > PC > Chapter 9 > Lesson 9.3.3 > Problem9-132

9-132.

Given the function $f(x) = x^2 + 3$:

1. Find the average rate of change from $x = 3$ to $x = 3.1$.

$\frac{f(3.1)-f(3)}{3.1-3}$

2. Find the instantaneous rate of change at $x = 3$.

$\lim\limits_{h \to 0} \frac{f(3+h)-f(3)}{(3+h)-3}$