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Title Decision FINAL5pdf Author JacquelineDePierola Created Date 052 AMZ = xayb and its partial derivatives are ∂z/∂x = axa−1yb and ∂z/∂y = bxayb−1 Furthermore, the slope of the level curve of a Cobbdouglas is given by ∂z/∂x ∂z/∂y = MRS= a b y x Differentials Given the function y = f(x) the derivative is dy dx = f0(x) However, we can treat dy/dx as a fraction and factor out the dx dy = f0(x)dxA x b ) a g(x) b (#) Then the equation x = g(x) has at least one solution in the interval a;b The proof of this is fairly intuitive Look at the function f(x) = x g(x);

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