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Tangent Planes

  1. Apr 12, 2010 #1

    Char. Limit

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    Gold Member

    Most functions y=f(x) have tangent lines for any point x.

    Does a function z=f(x,y) have a tangent plane for any point x,y?

    And could you extend this to higher dimensions if necessary? (Tangent cubes? Tangent hypercubes?)

    Edit: Sorry, I thought I was posting in the General Math forum. Movement would be helpful, please.
  2. jcsd
  3. Apr 12, 2010 #2
    Yes. Check out -http ://mathworld.wolfram.com/TangentPlane.html
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