IB DP Math: AA SL :Topic SL 5.8-maximum and minimum: Study Notes

SL 5.8 Maximum and Minimum

Content
Local maximum and minimum points.

Testing for maximum and minimum.

Understandings:

  • Absolute extreme values, global extremes
  • Extreme Value Theorem:
  • Local Extreme Values:
  • Local minimum
  • Local Maxima
  • Absolute maximum
  • Absolute minimum

Guidance, clarification and syllabus links

  • Using change of sign of the first derivative or using sign of the second derivative where f″(x)>0 implies a minimum and f″(x)<0 implies a maximum.

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