Practice Problems source information

In order to increase our understanding of maximum, minimum, and inflection points, let us practice on a few examples. If you have Maple, you may want to try solving the problems using Maple. Regardless of whether you have Maple or not, you should try doing these problems out by hand. Once you have completed a problem, you can check your answers by clicking on "solution." Enjoy.

For the following problems find the maximum, minimum, and determine the inflection point.

1. solution 1

2. solution 2

3. solution 3

*4. The graph of a cubic function has a maximum at (-2, 95) and an inflection point at (1, -13). Find the function.

solution 4

All four problems were taken directly from A First Course in Calculus by Ransom V. Lynch. See source information for a complete bibliographic reference.