Results 1 to 3 of 3

Math Help - How to prove this inequality

  1. #1
    Junior Member
    Joined
    Jun 2011
    Posts
    73
    Thanks
    2

    How to prove this inequality

    How to prove
    yx^y(1-x)<e^{-1}, 0<x<1, y>0.

    Thanks.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Sep 2012
    From
    Australia
    Posts
    3,619
    Thanks
    592

    Re: How to prove this inequality

    Hey xinglongdada.

    Try finding when the first derivatives are 0 and see where the maximums and minimums are for 0 < x < 1 (with y being constant).
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Jun 2011
    Posts
    73
    Thanks
    2

    Re: How to prove this inequality

    Year. I've found this with x fixed...Thanks then.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. prove inequality
    Posted in the Differential Geometry Forum
    Replies: 0
    Last Post: November 26th 2011, 01:49 AM
  2. Replies: 2
    Last Post: September 29th 2009, 01:04 AM
  3. Prove this inequality
    Posted in the Trigonometry Forum
    Replies: 1
    Last Post: October 16th 2008, 05:08 AM
  4. Try to prove this inequality
    Posted in the Advanced Math Topics Forum
    Replies: 2
    Last Post: October 26th 2007, 08:50 AM
  5. Prove an inequality
    Posted in the Algebra Forum
    Replies: 1
    Last Post: June 6th 2007, 11:56 AM

Search Tags


/mathhelpforum @mathhelpforum