### Home > PC3 > Chapter 11 > Lesson 11.2.5 > Problem11-154

11-154.

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.