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Local or absolute?

Exercise and reference answers

Items
  1. Item
    Found by the first derivative test
    Category
    Local
  2. Item
    Found by the second derivative test
    Category
    Local
  3. Item
    Compares f only with nearby points
    Category
    Local
  4. Item
    Needs the endpoints to be checked
    Category
    Absolute
  5. Item
    The largest value over the whole interval
    Category
    Absolute
Categories
  1. Item
    Local
  2. Item
    Absolute

Explanation

Local extrema come from the derivative tests absolute extrema come from comparing values, endpoints included. Source: syllabus Maths Part I, Ch 6 Application of Derivatives.
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