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

9-142.

Use the definition of the derivative to find the approximate value of *f* ′(3) when *f*(*x*) = 2* ^{x}*. What does this value tell you about the function at

*x*= 3? Homework Help ✎

Testing small values of *h* yields *f* '(3) ≈ 5.545. The slope of the function is 5.545 at 3 or the slope of tangent line at *x* = 3 is 5.545.

This tells you the function is increasing at that point.