18.02SC | Fall 2010 | Undergraduate

Multivariable Calculus

Part B: Chain Rule, Gradient and Directional Derivatives

Session 34: The Chain Rule with More Variables

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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

Clip: Chain Rule with More Variables

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

Reading and Examples

Chain Rule (PDF)


Chain Rule with more Variables (PDF)

Recitation Video

Total Differentials and the Chain Rule

Problems and Solutions

Problems: Chain Rule Practice (PDF)

Solutions (PDF)

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Course Info

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