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Math Help - Chain rule for functions of two independent variables.

  1. #1
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    Chain rule for functions of two independent variables.

    is the theorem 5 attached in pic valid if partial derivatives w.r.t x and y are discontinuous.
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    Last edited by mr fantastic; October 17th 2011 at 01:09 PM. Reason: Re-titled.
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    Re: Chain rule for functions of two independent variables.

    Quote Originally Posted by saransh View Post
    is the theorem 5 attached in pic valid if partial derivatives w.r.t x and y are discontinuous.
    Your question is already answered in the statement of the theorem since it states the conditions under which it is valid!
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    Re: Chain rule for functions of two independent variables.

    can anybody give an example of a non differentiable function where the theoram is invalid
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