### Overview

The maximum and minimum values of a function may occur at points of discontinuity, at the endpoints of the domain of the function, or at a “critical point” where the derivative of the function is zero. To determine whether a critical point is a global maximum or minimum we compare the value of the function at that point to its value at the other candidates for minima and maxima.

### Lecture Video and Notes

#### Video Excerpts

Clip 1: Minimal Surface Area of a Box: Direct Solution

Clip 2: Minimal Surface Area of a Box: Implicit Differentiation

### Recitation Video

#### Maximum Surface Area

### Worked Example

Can Design