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Extrema of function

  1. Feb 20, 2010 #1
    Please check my steps for global extrema of functions.
    1) Finding Critical points.
    2) Finding values of f at critical points and end-points.
    3) Checking which one is largest and which is smallest.
    4) Largest would be Global maxima and the smallest would be minima.

    Now a question, i know how to find global extrema if they are at
    end-points. How can i find local extrema if they occur at end-points?
    I will be thankful to you if you illustrate it with a simple example.
     
  2. jcsd
  3. Feb 21, 2010 #2

    HallsofIvy

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    Strictly speaking, and endpoint is always a "local extremum". If the function is increasing there, then the endpoint is either a max or a min depending on which side the interval is. If the function is decreasing, then that is reversed.
     
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