Results 1 to 2 of 2

Math Help - Proving: Partial Derivatives

  1. #1
    Newbie
    Joined
    Oct 2010
    Posts
    13

    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}.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Apr 2005
    Posts
    16,048
    Thanks
    1684
    f_{yxx} means (f_{yx})_x. Since f_{xy} and f_{yx} are continuous, f_{yx}= f_{xy}.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. partial derivatives
    Posted in the Calculus Forum
    Replies: 0
    Last Post: February 24th 2011, 11:49 AM
  2. partial derivatives
    Posted in the Calculus Forum
    Replies: 6
    Last Post: February 24th 2011, 05:22 AM
  3. Partial Derivatives
    Posted in the Calculus Forum
    Replies: 2
    Last Post: November 16th 2010, 03:59 PM
  4. partial derivatives
    Posted in the Calculus Forum
    Replies: 1
    Last Post: May 29th 2010, 01:36 AM
  5. Partial derivatives
    Posted in the Calculus Forum
    Replies: 1
    Last Post: April 10th 2010, 12:42 PM

Search Tags


/mathhelpforum @mathhelpforum