4. Use the theorem in Sec. 24 to show that each of these functions is differentiable in the indicated domain of definition, and also to find f'(z): (a) f(z) = 1/z4 (z #0); (b) ƒ(z) = e¯º cos(In r) +i e¯º sin(lnr) (r > 0, 0 < 0 < 2π). Ans. (b) f'(z) = i f(z) Z

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