Results 1 to 2 of 2

Math Help - Finding the local minima and maxima using the second derivative test

  1. #1
    Newbie
    Joined
    Sep 2012
    From
    Australia
    Posts
    8

    Finding the local minima and maxima using the second derivative test

    Hi, stuck on this question, I'm under a strict deadline so I'm moving through my material really quickly and probably leaving a lot of gaps in my knowledge.


    f(x)=12 + 2x^3 - 4x^4

    Questions are:
    Use the second derivative test to identify the local maxima and minima.

    Locate the inflection points of the graph of the function.

    I understand that f'(x) = 6x^2 - 16x^3 and f''(x) = 4 - 48x^2 but I am not sure where to go from here.
    Please help!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Prove It's Avatar
    Joined
    Aug 2008
    Posts
    11,404
    Thanks
    1293

    Re: Finding the local minima and maxima using the second derivative test

    Quote Originally Posted by durrrr View Post
    Hi, stuck on this question, I'm under a strict deadline so I'm moving through my material really quickly and probably leaving a lot of gaps in my knowledge.


    f(x)=12 + 2x^3 - 4x^4

    Questions are:
    Use the second derivative test to identify the local maxima and minima.

    Locate the inflection points of the graph of the function.

    I understand that f'(x) = 6x^2 - 16x^3 and f''(x) = 4 - 48x^2 but I am not sure where to go from here.
    Please help!
    Stationary points occur where f'(x) = 0. If f''(x) < 0 at that point, then you have a local maximum. If f''(x) > 0 at that point, then you have a local minimum. If f''(x) = 0 at that point, the test is inconclusive.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 0
    Last Post: September 1st 2012, 08:21 PM
  2. Replies: 2
    Last Post: March 28th 2011, 07:14 PM
  3. Local Maxima or Minima
    Posted in the Calculus Forum
    Replies: 1
    Last Post: September 28th 2010, 02:19 PM
  4. Local Maxima and Minima
    Posted in the Calculus Forum
    Replies: 0
    Last Post: November 12th 2009, 10:04 AM
  5. Local Maxima or Minima
    Posted in the Calculus Forum
    Replies: 3
    Last Post: August 10th 2009, 09:07 AM

Search Tags


/mathhelpforum @mathhelpforum