### Home > PC > Chapter 9 > Lesson 9.3.3 > Problem9-133

9-133.

Suppose $g(x) = 3^x$. Approximate the instantaneous rate of change at $x = 2$ to the nearest $0.001$.

$\lim\limits_{h\to 0} \frac{g(2+h)-g(2)}{(2+h)-2} =\frac{3^{2+h}-3^2}{h}$
Use a calculator to approximate the IROC.