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Continuous partial derivatives

  1. Sep 6, 2009 #1
    Hallo,
    What is the condition for partial derivatives to be continuous (if I have function f(x,y))?
    Thanks,
    Omri
     
  2. jcsd
  3. Sep 6, 2009 #2

    Astronuc

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    Staff: Mentor

    Is the partial derivative a continuous function?

    For example, does [itex]{\partial y}/{\partial x} = f(x,y)[/itex]?

    If so, then what is the condition that f(x,y) be continous?

    and then apply this to higher order partials [itex] {\partial^n y}/{\partial x^n} [/itex]
     
  4. Sep 7, 2009 #3

    HallsofIvy

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    That question is a bit strange. There are a number of things that are true if the partials are continuous (mixed derivatives the same, for instance) but I don't know of any that says "IF a condition is true THEN the partials are continuous".
     
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