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.