Local Maximum and Minimum

AP Calculus classes follow along as a video tutorial explains the process of determining the location of local maximum and minimum. The instructor first finds the derivative using the Quotient Rule. After finding the critical values, he determines the behavior within each interval to locate the local maximum.

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Instructional Ideas

  • Pair the video with the video in the series discussing absolute maximum and minimums
  • Require graph work for each problem
Classroom Considerations

  • Access to graphing calculator technology is important for this lesson
Pros

  • Uses a graph to verify the analytical results
Cons

  • Instructor does not have the correct notes with him to work the problem fully during the tutorial, so he improvises