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Math Help - implicit differentiation

  1. #1
    Junior Member
    Joined
    Jan 2010
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    25

    implicit differentiation

    How do you show that these equations
    x^2 - y\cos(uv)+z^2 =0
    x^2 + y^2 - \sin(uv)+2z^2 =2
    xy-\sin(u) \cos(v) +z=0
    determine x,y and z as functions of (u,v) when (u,v,x,y,z) is close to (\frac{\pi}{2}, 0,1,1,0)
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  2. #2
    Senior Member
    Joined
    Feb 2010
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    Use the Implicit function theorem - Wikipedia, the free encyclopedia

    So start by taking all the partial derivatives.
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