### Home > PC3 > Chapter 13 > Lesson 13.3.4 > Problem13-142

13-142.

Use the definition of the derivative to approximate 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.