Results 1 to 5 of 5

Math Help - Conditions for cubic equation to have horizontal tangent.

  1. #1
    Member
    Joined
    Sep 2010
    Posts
    96

    Conditions for cubic equation to have horizontal tangent.

    Can anyone explain how to do these two problems? I don't understand them at all:



    Thanks
    Last edited by mr fantastic; March 12th 2011 at 01:39 AM. Reason: Re-titled.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Prove It's Avatar
    Joined
    Aug 2008
    Posts
    11,654
    Thanks
    1478
    What is the condition to have a horizontal tangent?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    Sep 2010
    Posts
    96
    slope of the function = 0...why?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Member
    Joined
    Dec 2009
    Posts
    226
    In other words, f'(x) = 0. I assume you can find the derivative of f(x). Then, find values of a, b, c for which the equation f'(x) = 0 has exactly two, exactly one, or no solutions.
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by colerelm1 View Post
    slope of the function = 0...why?
    You are meant to think a little bit harder than this when asked a leading question.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 1
    Last Post: October 17th 2010, 05:50 AM
  2. horizontal tangent, set it to zero, now what?
    Posted in the Calculus Forum
    Replies: 1
    Last Post: February 11th 2010, 09:19 PM
  3. horizontal tangent
    Posted in the Calculus Forum
    Replies: 2
    Last Post: November 9th 2009, 07:34 PM
  4. Equation of a horizontal tangent line..
    Posted in the Calculus Forum
    Replies: 13
    Last Post: December 8th 2008, 04:59 PM
  5. Replies: 2
    Last Post: November 18th 2008, 08:31 PM

Search Tags


/mathhelpforum @mathhelpforum