Two functions, f .x; y/ and g.x; y/, are said to be function
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Two functions, f .x; y/ and g.x; y/, are said to be functionally dependent if one is a function of the other; that is, i
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Two functions, f .x; y/ and g.x; y/, are said to be functionally dependent if one is a function of the other; that is, if there exists a single-variable function k.t / such that f .x; y/ D k g.x; y/ for all x and y. Show that in this case @.f; g/=@.x; y/ vanishes identically. Assume that all necessary derivatives exist.
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