Results 1 to 11 of 11

Math Help - the point tangent to line

  1. #1
    rcs
    rcs is offline
    Senior Member rcs's Avatar
    Joined
    Jul 2010
    From
    iligan city. Philippines
    Posts
    455
    Thanks
    2

    the point tangent to line

    At what point on the curve xy = ( 1 - x - y)^2 is the tangent line parallel to the x - axis


    need your assistance here guys...
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Prove It's Avatar
    Joined
    Aug 2008
    Posts
    11,495
    Thanks
    1396

    Re: the point tangent to line

    Quote Originally Posted by rcs View Post
    At what point on the curve xy = ( 1 - x - y)^2 is the tangent line parallel to the x - axis


    need your assistance here guys...
    What is the gradient of the x axis? Hint: It's horizontal...
    Follow Math Help Forum on Facebook and Google+

  3. #3
    rcs
    rcs is offline
    Senior Member rcs's Avatar
    Joined
    Jul 2010
    From
    iligan city. Philippines
    Posts
    455
    Thanks
    2

    Re: the point tangent to line

    Sir that term i coudnt answer ... im sorry i couldnt get the hint
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,610
    Thanks
    1576
    Awards
    1

    Re: the point tangent to line

    Quote Originally Posted by rcs View Post
    At what point on the curve xy = ( 1 - x - y)^2 is the tangent line parallel to the x - axis
    y+xy'=2(1-x-y)(-1-y') now find a point (x,y) so that y'=0.
    Follow Math Help Forum on Facebook and Google+

  5. #5
    MHF Contributor

    Joined
    Apr 2005
    Posts
    15,550
    Thanks
    1395

    Re: the point tangent to line

    If you do not know what "gradient' (American English: "slope") of a line is, you should not be attempting a problem like this. Finding the derivative is far more advanced that the 'slope' or 'gradient' of a line.
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Super Member
    Joined
    Jun 2012
    From
    AZ
    Posts
    616
    Thanks
    97

    Re: the point tangent to line

    Quote Originally Posted by rcs View Post
    At what point on the curve xy = ( 1 - x - y)^2 is the tangent line parallel to the x - axis


    need your assistance here guys...
    You've posted a lot of algebra questions on this forum, and this question might be too advanced for you. How much calculus do you know?
    Follow Math Help Forum on Facebook and Google+

  7. #7
    rcs
    rcs is offline
    Senior Member rcs's Avatar
    Joined
    Jul 2010
    From
    iligan city. Philippines
    Posts
    455
    Thanks
    2

    Re: the point tangent to line

    i guess basic for u but im trying to know all these things sir
    Follow Math Help Forum on Facebook and Google+

  8. #8
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,610
    Thanks
    1576
    Awards
    1

    Re: the point tangent to line

    Quote Originally Posted by rcs View Post
    i guess basic for u but im trying to know all these things sir
    What the hell does that mean?
    That is not even a well formed English sentence
    If you cannot post an proper statement or question then post nothing !
    Follow Math Help Forum on Facebook and Google+

  9. #9
    Super Member
    Joined
    Jun 2012
    From
    AZ
    Posts
    616
    Thanks
    97

    Re: the point tangent to line

    Quote Originally Posted by rcs View Post
    i guess basic for u but im trying to know all these things sir
    I don't think you're quite ready for derivatives and calculus, especially since you've been posting elementary algebra questions. You need to be proficient in algebra to do well in calculus.
    Follow Math Help Forum on Facebook and Google+

  10. #10
    Super Member
    Joined
    Jun 2012
    From
    AZ
    Posts
    616
    Thanks
    97

    Re: the point tangent to line

    The solution would involve differentiating both sides with respect to x:

    y + x \frac{dy}{dx} = 2(1-x-y)(-1 - \frac{dy}{dx}) (using chain rule)

    Then set dy/dx = 0.
    Follow Math Help Forum on Facebook and Google+

  11. #11
    rcs
    rcs is offline
    Senior Member rcs's Avatar
    Joined
    Jul 2010
    From
    iligan city. Philippines
    Posts
    455
    Thanks
    2

    Re: the point tangent to line

    thank you Plato. You have a very positive statement . Keep it up!
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 7
    Last Post: April 15th 2012, 02:50 PM
  2. Replies: 6
    Last Post: May 16th 2011, 04:57 AM
  3. Equation of a tangent line at a certain point.
    Posted in the Calculus Forum
    Replies: 3
    Last Post: November 15th 2009, 01:02 PM
  4. Replies: 5
    Last Post: November 4th 2009, 06:49 PM
  5. Slope of tangent line at a point
    Posted in the Calculus Forum
    Replies: 0
    Last Post: November 5th 2008, 01:12 PM

Search Tags


/mathhelpforum @mathhelpforum