Results 1 to 5 of 5

Math Help - Not sure what this question means

  1. #1
    MHF Contributor
    Joined
    Mar 2010
    From
    Florida
    Posts
    3,093
    Thanks
    5

    Not sure what this question means

    Make a conjecture about the nth derivative of the function f(x)=e^(ax). This conjecture should be written as a self contained proposition including an appropriate quantifier.

    That does this last sentence mean?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    11,621
    Thanks
    426
    Quote Originally Posted by dwsmith View Post
    Make a conjecture about the nth derivative of the function f(x)=e^(ax). This conjecture should be written as a self contained proposition including an appropriate quantifier.

    That does this last sentence mean?

    f(x) = e^{ax}

    f'(x) = ae^{ax}<br />

    f''(x) = a^2e^{ax}

    f'''(x) = a^3e^{ax}

    do you see a pattern to construct an expression for f^{n}(x) so that you may answer within the given guidelines ?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor
    Joined
    Mar 2010
    From
    Florida
    Posts
    3,093
    Thanks
    5
    I understand what is happening with the function. It is the last sentence I am not sure what they are asking for.

    This conjecture should be written as a self contained proposition including an appropriate quantifier.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    11,621
    Thanks
    426
    Quote Originally Posted by dwsmith View Post
    I understand what is happening with the function. It is the last sentence I am not sure what they are asking for.

    This conjecture should be written as a self contained proposition including an appropriate quantifier.
    then write what you understand and ask the questions ...

    is it self-contained?

    does it possess an appropriate quantifier?

    ... don't get too caught up in the high-dollar verbage.
    Follow Math Help Forum on Facebook and Google+

  5. #5
    MHF Contributor

    Joined
    Apr 2005
    Posts
    15,405
    Thanks
    1328
    "Appropriate quantifier": is your statement true for all a and x or do there exist some values of a and/or x for which it is true?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 0
    Last Post: December 14th 2011, 05:02 AM
  2. A question on the what the wording of a question means.
    Posted in the Advanced Applied Math Forum
    Replies: 0
    Last Post: May 23rd 2011, 03:02 AM
  3. sampling means question
    Posted in the Advanced Statistics Forum
    Replies: 6
    Last Post: December 20th 2010, 03:59 PM
  4. Replies: 1
    Last Post: September 11th 2010, 08:40 PM
  5. Another bonus question - testing the means?
    Posted in the Statistics Forum
    Replies: 2
    Last Post: December 27th 2009, 10:07 PM

Search Tags


/mathhelpforum @mathhelpforum