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3. [5 marks Let u = cty + z,v = xy +yz + zx, w = ryz, and suppose that f(u, v, w) is a

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3. [5 marks Let u = cty + z,v = xy +yz + zx, w = ryz, and suppose that f(u, v, w) is a differentiable function satisfying f(u, v, w) = x* + + 2* for all (x, y, z). Find fu(2, -1, -2). (You can take (x, y, z) = (1, -1, 2) as this gives (u, v, w) = (2, -1, -2).)

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