Results 1 to 3 of 3

Math Help - implicit differentiation.

  1. #1
    Member
    Joined
    Dec 2008
    From
    Australia
    Posts
    161

    implicit differentiation.

    by differentiating,  x^2 + xy - 2y^2 = 0 show that  \frac{dy}{dx} = 1 or  \frac{-1}{2}

    Thanks
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Apr 2008
    Posts
    1,092
    Implicit differentiation yields:

    2x + xy' + y - 4yy' = 0

    xy' - 4yy' = -2x - y

    y'(x - 4y) = -2x - y

    y' = \frac{-2x - y}{x - 4y}

    That's as far as I can go without knowing more information.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    Dec 2008
    From
    Australia
    Posts
    161
    that is the same with what I got.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 2
    Last Post: July 26th 2010, 06:24 PM
  2. implicit differentiation
    Posted in the Calculus Forum
    Replies: 3
    Last Post: March 10th 2010, 06:58 PM
  3. implicit differentiation
    Posted in the Calculus Forum
    Replies: 1
    Last Post: October 20th 2009, 11:34 AM
  4. implicit differentiation
    Posted in the Calculus Forum
    Replies: 4
    Last Post: September 12th 2009, 04:15 PM
  5. Implicit Differentiation
    Posted in the Calculus Forum
    Replies: 1
    Last Post: October 21st 2008, 09:12 PM

Search Tags


/mathhelpforum @mathhelpforum