Results 1 to 2 of 2

Math Help - find tangent plane of this surface

  1. #1
    Senior Member
    Joined
    Feb 2008
    Posts
    321

    find tangent plane of this surface

    z= x^2*y^3-y+1
    find its tangent plane at point (1,1,1)
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member
    Joined
    Jan 2008
    From
    Montreal
    Posts
    311
    Awards
    1
     \frac{\partial z}{\partial x} = 2x

     \frac{\partial z}{\partial y} = 3y^2 -1

     f_{x}(1,1,1) = 2

     f_{y}(1,1,1) = 2

     z-1= 2(x-1)+2(y-1) \Rightarrow  z=2x+2y+3
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. [SOLVED] Tangent plane to a surface
    Posted in the Geometry Forum
    Replies: 4
    Last Post: December 14th 2010, 01:53 PM
  2. Replies: 4
    Last Post: October 20th 2010, 05:51 AM
  3. Replies: 1
    Last Post: March 4th 2010, 03:50 PM
  4. Replies: 4
    Last Post: December 22nd 2009, 08:27 AM
  5. Find the tangent plane to the surface
    Posted in the Calculus Forum
    Replies: 1
    Last Post: April 6th 2008, 03:47 AM

Search Tags


/mathhelpforum @mathhelpforum