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g (u, v) is a differentiable function and g (1,2) = 100, gu (1,2) = 3,...

g (u, v) is a differentiable function and g (1,2) = 100, gu (1,2) = 3, gv (1,2) = 7 are given. The function f is defined as f (x, y, z) = g (xyz, x ^ 2, y^2z). Find the equation of the tangent plane at the point (1,1,1) of the f (x, y, z) = 100 surface.

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