Partial Derivative question

spacecadet

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Joined
Jan 31, 2009
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1
Hello.

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

I know ?g / ?x is positive.
How can I define whether ?h / ?z is negative or positive?
And how can I express ?h / ?z in terms of ?g / ?x?
 
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