Calculus project 6: Discovering derivatives

This is the second part of a series of projects intended for first year calculus students. In this series, students will learn how to use different mathematical equations to assess the properties of solids and containers. My apologies if the "X" and "x" thing is confusing, but in some situations formatting makes using an asterisk impossible, so big X is a variable, and little x is multiply.

In this part of the project, students will learn how to use derivatives to find what value(s) of X gives us the maximum volume of a lidless box.