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Session 34: The Chain Rule with More Variables

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Overview

In this session you will:

  • Watch a lecture video clip and read board notes
  • Read course notes and examples
  • Review an example
  • Watch a recitation video

Lecture Video

Video Excerpts


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» Clip: Chain Rule with More Variables (19 min)

From Lecture 11 of 18.02 Multivariable Calculus, Fall 2007

Download the complete lectures from this course:

» iTunes U
» Internet Archive

The following images show the chalkboard contents from these video excerpts. Click each image to enlarge.

Chalkboard 1.Chalkboard 2.Chalkboard 3.Chalkboard 4.

Reading and Examples

Chain Rule (PDF)

Examples

Chain Rule with more Variables (PDF)

Recitation Video

Total Differentials and the Chain Rule

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Download this video:
» iTunes U (MP4 - 26MB)
» Internet Archive (MP4 - 26MB)
» Transcript (PDF)

Problems and Solutions

Problems: Chain Rule Practice (PDF)

Solutions (PDF)

 

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