18.02SC | Fall 2010 | Undergraduate

Multivariable Calculus

Part A: Functions of Two Variables, Tangent Approximation and Optimization

Session 30: Second Derivative Test

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In this session you will:

  • Watch two lecture video clips and read board notes
  • Read course notes and examples
  • Review an example
  • Work with a Mathlet to reinforce lecture concepts
  • Watch a recitation video
  • Do problems and use solutions to check your work

Lecture Video

Video Excerpts

Clip 1: Quadratic Example

Clip 2: Second Derivative Test

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

Second Derivative Test (PDF)


Second Derivative Test (PDF)

Recitation Video

Second Derivative Test

Problems and Solutions

Problems: Second Derivative Test (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