For each of the following, prove that f and g are differentiable on their domains, and find
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a) f(x, y) = x - y, g(x, y) = x2 + y2
b) f(x, y) = xy, g(x, y) = x sin x - cos y
c) f(x, y) = (cos(xy), x log y), g(x, y) = (y, x)
d) f'(x, y, z) = (y, x -z), g(x, y, z) = (xyz, y2)
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Since they are all C 1 on their domains they are all di...View the full answer
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