Suppose f(z) = u(x, y) is a real valued function on an open set U which we are viewing as a complex-valued function (in other words, we take v(x, y) = 0.) a) Show that if zo = xo + iyo is such that f'(zo) exists, then one has dru(xo, yo) = dyu(xo, yo) = 0 {z: z0}. Show that f'(zo) does not exist at any b) Let f(z) = |2| on U 30 € U. =

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