Results 1 to 7 of 7

Math Help - Locating absolute extrema

  1. #1
    Newbie
    Joined
    Dec 2011
    Posts
    3

    Locating absolute extrema

    Locate the absolute extrema of the function on the closed interval: f(x)= cos PIx on [1/2 , 4/3]



    I will be very greatful if someone helped me understand what i must do
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Prove It's Avatar
    Joined
    Aug 2008
    Posts
    10,969
    Thanks
    1010

    re: Locating absolute extrema

    Quote Originally Posted by zully32 View Post
    Locate the absolute extrema of the function on the closed interval: f(x)= cos PIx on [1/2 , 4/3]



    I will be very greatful if someone helped me understand what i must do
    Global maxima and minima can occur at endpoints or stationary points.

    Can you evaluate the function at the endpoints? Can you use calculus to evaluate the stationary points?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    11,621
    Thanks
    426

    re: Locating absolute extrema

    Quote Originally Posted by zully32 View Post
    Locate the absolute extrema of the function on the closed interval: f(x)= cos PIx on [1/2 , 4/3]



    I will be very greatful if someone helped me understand what i must do
    You should know that relative extrema occur at critical values. So let me ask you ... what are critical values and how does one find them?

    Where else may absolute extrema exist on a closed interval?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Newbie
    Joined
    Dec 2011
    Posts
    3

    Re: Locating absolute extrema

    Ok this going to take me a while because i am use to take math in spanish but ill manage to understand you ... anyway .....the end points are the points in which the graph ends ?
    Follow Math Help Forum on Facebook and Google+

  5. #5
    MHF Contributor
    Prove It's Avatar
    Joined
    Aug 2008
    Posts
    10,969
    Thanks
    1010

    Re: Locating absolute extrema

    Quote Originally Posted by zully32 View Post
    Ok this going to take me a while because i am use to take math in spanish but ill manage to understand you ... anyway .....the end points are the points in which the graph ends ?
    Yes. What is the value of the function at each of the endpoints?
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Newbie
    Joined
    Dec 2011
    Posts
    3

    Re: Locating absolute extrema

    [1/2,4/3]
    Follow Math Help Forum on Facebook and Google+

  7. #7
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    11,621
    Thanks
    426

    Re: Locating absolute extrema

    What is the value of the function at each of the endpoints?
    Quote Originally Posted by zully32 View Post
    [1/2,4/3]
    no, the function values at the endpoints are f\left(\frac{1}{2}\right) and f\left(\frac{4}{3}\right)
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Absolute Extrema, Local Extrema
    Posted in the Calculus Forum
    Replies: 2
    Last Post: November 23rd 2009, 03:08 AM
  2. Replies: 1
    Last Post: November 18th 2009, 11:22 PM
  3. Absolute Extrema
    Posted in the Calculus Forum
    Replies: 4
    Last Post: March 11th 2009, 01:34 PM
  4. Absolute Extrema
    Posted in the Calculus Forum
    Replies: 1
    Last Post: December 16th 2008, 08:28 AM
  5. absolute extrema
    Posted in the Calculus Forum
    Replies: 9
    Last Post: April 1st 2008, 09:33 AM

Search Tags


/mathhelpforum @mathhelpforum