- #1
mathman44
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Homework Statement
Hello all. The question asked here is to find the point on the surface:
z2 - xy = 1
that is closest to the origin.
The Attempt at a Solution
I only have experience in doing this with 2 variables. I begin by trying to find "d", I get that d = sqrt[...] but I have three variables to deal with. I end up with
d2 = (z2-1)/y + (z2-1)/x + xy + 1
The problem is that the partial derivatives with respect to x, y and z are quite messy and they don't look right... Does this look correct so far? Thanks all!