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Math Help - partial derivative problem

  1. #1
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    partial derivative problem

    If given an implicit function f(x,y,z)=0. Then, we can get z=g(x,y) and x= h(y,z).
    I know the answer for partial derivative of g(x,y)' for x, how can I know partial derivative of h(y,z) for z?
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  2. #2
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    (more info)

    I know f( x, y, z)=0. And I know ∂g / ∂x is positive.
    How can I define whether ∂h / ∂z is negative or positive?
    How can I express ∂h / ∂z in terms of ∂g / ∂x?
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