Results 1 to 3 of 3

Math Help - First derivative stationary point problem

  1. #1
    Junior Member
    Joined
    Aug 2008
    Posts
    72

    First derivative stationary point problem

    Hi there, I am getting a little bit stuck on a calculus question,

    I am required to find the stationary points of g(x) = e^x/7 / sqrt (10 + x^2).

    from this I need to use the first derivative test to classify each stationary point as a maximum or minimum.

    Many thanks
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by offahengaway and chips View Post
    Hi there, I am getting a little bit stuck on a calculus question,

    I am required to find the stationary points of g(x) = e^x/7 / sqrt (10 + x^2).

    from this I need to use the first derivative test to classify each stationary point as a maximum or minimum.

    Many thanks
    Where are you stuck?

    Can you get g'(x)?

    Can you solve g'(x) = 0?

    Can you test nature of the solutions to g'(x) = 0?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4
    Quote Originally Posted by offahengaway and chips View Post
    Hi there, I am getting a little bit stuck on a calculus question,

    I am required to find the stationary points of g(x) = e^x/7 / sqrt (10 + x^2).

    from this I need to use the first derivative test to classify each stationary point as a maximum or minimum.

    Many thanks
    You need to differentiate g(x) to get g'(x), then the stationary points are solutions of the equation g'(x)=0.

    A maximum corresponds to a stationary point where the second derivative g''(x) is negative, and a mininmum to a stationary point where the second derivative is positive.

    (It's the second derivative test)

    RonL
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Stationary point...
    Posted in the Calculus Forum
    Replies: 7
    Last Post: June 9th 2010, 07:57 PM
  2. stationary point on a surface
    Posted in the Calculus Forum
    Replies: 2
    Last Post: May 31st 2010, 04:55 AM
  3. stationary point
    Posted in the Calculus Forum
    Replies: 1
    Last Post: August 2nd 2009, 10:24 PM
  4. stationary point
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: November 16th 2008, 02:45 AM
  5. stationary point
    Posted in the Calculus Forum
    Replies: 3
    Last Post: May 10th 2006, 12:38 PM

Search Tags


/mathhelpforum @mathhelpforum