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Math Help - Generic Max/Min process

  1. #1
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    Question Generic Max/Min process

    Let me say first that I know this probably sounds like a weird question

    If I want to find the absolute Max or Min of a function on the interval -infinity to infinity, is there a generic process I could use that applies to all equations (possibly using calculus) or is it special to each type of function?
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  2. #2
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    For just about any function, the global maximum or minimum will either be where the derivative or gradient vector is 0, or at an end point.
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  3. #3
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    Is there a way to test to see if a function increases without bound forever, as opposed to for example increasing until a very high value and then flatlining?
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  4. #4
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    Yes, you can analyse the derivative.
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  5. #5
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    OK, thank you! Im a little fuzzy on calc, so I wasn't sure.
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