2. Use the theorem in Sec. 23 to show that f'(z) and its derivative f"(z) exist everywhere, and find f"(z) when (a) f(z) = iz + 2; (c) f(z)=z³; Ans. (b) f"(z) = f(z); (d) f"(z) = -f(z). (b) f(z)=e³e-iy; (d) f(z) = cos x cosh y - i sin x sinh y.

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