Let f: R²R have the form f(x, y) = g(x), that is, f does not depend on y. If g, a function of one variable, is differentiable at xo, prove that f is differentiable at (xo, yo) by verifying that the affine function T(x, y) g(xo) + g'(xo)(x - xo) is the best affine approximation to f at (xo, yo). Calculate [f'(xo, yo)] in terms of g'(xo). =

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