18.01SC | Fall 2010 | Undergraduate

Single Variable Calculus

Part B: Optimization, Related Rates and Newton's Method

Session 30: Optimization Problems II

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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

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Course Info

As Taught In
Fall 2010
Learning Resource Types
Exams with Solutions
Lecture Notes
Lecture Videos
Problem Sets with Solutions
Recitation Videos