CPM Homework Help : PC3 Problem 11-154

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

Step:

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