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Thread: Proving: Partial Derivatives

  1. #1
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    Proving: Partial Derivatives

    Assume that f_{xy} and f_{yx} are continuous and that f_{yxx} exists. Show that f_{xyx} also exists and that f_{yxx} = f_{xyx}.
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  2. #2
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    f_{yxx} means (f_{yx})_x. Since f_{xy} and f_{yx} are continuous, f_{yx}= f_{xy}.
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