I need to compute the partials of z with respect to x and y of:(adsbygoogle = window.adsbygoogle || []).push({});

xy + z + 3xz^5 = 4 at (1,0).

I already showed that the equation is solvable for z as a function of (x,y) near (1,0,1) with the special implicit function theorem, but that's the easy part. Could someone explain to me how to begin this?

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# Implicit Differentiation in Multivariable Calculus

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