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
