Results 1 to 4 of 4

Math Help - finding absolute max and mins

  1. #1
    Junior Member
    Joined
    Jul 2010
    Posts
    59

    finding absolute max and mins

    Consider the function

    This function has an absolute minimum value equal to:
    which is attained at
    and an absolute maximum value equal to:
    which is attained at

    I know I do the derivative and then set it to zero. But then what? Thanks
    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 softballchick View Post
    Consider the function

    This function has an absolute minimum value equal to:
    which is attained at
    and an absolute maximum value equal to:
    which is attained at

    I know I do the derivative and then set it to zero. But then what? Thanks
    determine if the critical values of x are locations for extrema ... use first and/or second derivative tests.

    don't forget to consider the endpoints of the interval for possible absolute extrema.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Jul 2010
    Posts
    59
    Hi,

    can you elaborate? I did the tests but got the wrong answers.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor
    Joined
    Mar 2010
    From
    Florida
    Posts
    3,093
    Thanks
    5
    \displaystyle f'(x)=e^{-6x}-6xe^{-6x}=e^{-6x}(1-6x)=0

    Since e to a power can't be 0, we only look at the \displaystyle 1-6x=0\rightarrow x=\frac{1}{6}

    Now, use the test to see if x and the end points to see if what are your local mins and maxs.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Finding values between two mins or two maxes
    Posted in the Calculus Forum
    Replies: 4
    Last Post: September 26th 2010, 07:03 PM
  2. absolute maximum and mins
    Posted in the Calculus Forum
    Replies: 5
    Last Post: February 8th 2010, 10:29 AM
  3. absolute max and mins
    Posted in the Calculus Forum
    Replies: 1
    Last Post: October 26th 2009, 04:50 PM
  4. Finding max mins point of inflection.
    Posted in the Calculus Forum
    Replies: 3
    Last Post: September 4th 2009, 05:50 PM
  5. Finding Max/Mins of a Function
    Posted in the Calculus Forum
    Replies: 2
    Last Post: April 24th 2007, 04:41 PM

Search Tags


/mathhelpforum @mathhelpforum