Let g: R3 R2 be a differentiable function such that g(1, 1, 3) = (2, 5) and Dg(1, 1, 3)

Chapter 2, Problem 28

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Let g: R3 R2 be a differentiable function such that g(1, 1, 3) = (2, 5) and Dg(1, 1, 3) = 1 1 0 4 07 . Suppose that f: R2 R2 is defined by f(x, y) = (2x y, 3x y + 5). What is D(f g)(1, 1, 3)?

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