Solving Optimization Problems Calculus Style (Maximum Area Example)

In this example optimization problem, I will show you how to find the maximum area that can be created using a specific amount of fencing. This is a walkthrough of how to apply calculus to solve a simple optimization problem involving area and perimeter.

Calculus word problems tend to be complex and require a lot of steps. But with this process, you can solve any optimization problem calculus throws at you! Simply start by defining two equations. From here, we can rearrange, substitute, and find a derivative in order to maximize or minimize the quantity we are interested in!