If given an implicit function f(x,y,z)=0. Then, we can get z=g(x,y) and x= h(y,z).(adsbygoogle = window.adsbygoogle || []).push({});

I know the answer for the partial derivative of g(x,y)' for x, how can I know the partial derivative of h(y,z) for z?

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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# Partial derivative problem

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