Results 1 to 4 of 4

Math Help - Partial derivatives of third order

  1. #1
    Newbie Iukwim's Avatar
    Joined
    May 2010
    Posts
    4

    Post Partial derivatives of third order

    Hey guys and gals, newbie here, welcome everyone!

    I need some help on solving the following problem: (see attached file).

    Any help and hints are appreciated, thanks for reading!
    Attached Thumbnails Attached Thumbnails Partial derivatives of third order-problem-dis2.jpg  
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Prove It's Avatar
    Joined
    Aug 2008
    Posts
    11,589
    Thanks
    1444
    Quote Originally Posted by Iukwim View Post
    Hey guys and gals, newbie here, welcome everyone!

    I need some help on solving the following problem: (see attached file).

    Any help and hints are appreciated, thanks for reading!
    Where exactly are you having trouble? Just take the partial derivatives and apply that combination, see if you get the RHS...
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor

    Joined
    Apr 2005
    Posts
    15,775
    Thanks
    1514
    The only reasonable "hint" is "Do it!". Take those third derivatives and put then into the equation to see if it is satisfied.

    Is your difficulty with the derivative? What do you get for the first and second derivatives?

    Prove It got in ahead of me again! I need to type faster!
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Newbie Iukwim's Avatar
    Joined
    May 2010
    Posts
    4
    I was asking because the third derivatives looked terrible and I thought I might be missing some theorems or properties.

    It turned out that the solution is rather simple than calculating directly.

    The ln function can be represented as following:



    And then computing is much easier (otherwise the third derivatives looked terrible).

    Thanks for the encouragement, guys!
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. first and second order partial derivatives
    Posted in the Calculus Forum
    Replies: 4
    Last Post: December 30th 2011, 08:00 AM
  2. Second Order Partial Derivatives
    Posted in the Calculus Forum
    Replies: 3
    Last Post: July 2nd 2010, 04:50 AM
  3. Third-Order Partial Derivatives
    Posted in the Calculus Forum
    Replies: 1
    Last Post: March 24th 2010, 09:54 AM
  4. 1st & 2nd Order Partial Derivatives
    Posted in the Calculus Forum
    Replies: 2
    Last Post: December 3rd 2008, 06:47 AM
  5. First-Order Partial Derivatives
    Posted in the Calculus Forum
    Replies: 5
    Last Post: July 28th 2008, 01:14 PM

Search Tags


/mathhelpforum @mathhelpforum