Results 1 to 2 of 2

Math Help - find where the tangent line is horizontal or vertical

  1. #1
    Junior Member
    Joined
    Feb 2009
    Posts
    34

    find where the tangent line is horizontal or vertical

    a) if x^3 + y^3 -xy^2 =5 , find dy/dx

    b) find all points where the tangent line is horizontal or vertical

    I was able to do the first part, and I got dy/dx = -3x^2 +y^2/3y^2-2xy.

    However, I'm having some problems finding where the tangent line is either horizontal or vertical....... can I get some help.Thanks in advance
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    Joined
    Jul 2009
    Posts
    593
    Thanks
    4
    What does it mean for the tangent line to be horizontal. You know how to take derivatives, so you should know by this point that the derivative evaluated at zero, is where the curve has a horizontal tangent.

    A vertical tangent (funny) occurs where the equation that defines the derivative does not exist.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 10
    Last Post: November 21st 2009, 04:16 AM
  2. Replies: 10
    Last Post: May 2nd 2009, 12:39 PM
  3. Replies: 3
    Last Post: March 28th 2009, 08:18 PM
  4. Replies: 2
    Last Post: December 9th 2008, 02:44 AM
  5. Find Vertical and Horizontal Tangent
    Posted in the Calculus Forum
    Replies: 1
    Last Post: April 1st 2007, 11:19 PM

Search Tags


/mathhelpforum @mathhelpforum