### Home > PC > Chapter 9 > Lesson 9.3.4 > Problem9-142

9-142.

Use the definition of the derivative to find the value of $f ^\prime\left(3\right)$ when $f\left(x\right) = 2^{x}$. What does this value tell you about the function at $x = 3$?

$f^\prime(3)=\lim \limits_{h\rightarrow 0}\frac{f(3+h)-f(3)}{h}$

You will need to use a calculator to obtain your approximation.