Question: The derivative of a complex-valued function f(x) = u(x) + iv(x), depending on a real variable x, is given by f'(x) = u(x) + iv(x).

The derivative of a complex-valued function f(x) = u(x) + iv(x), depending on a real variable x, is given by f'(x) = u(x) + iv(x).
(a) Prove that if X = p. + i v is any complex scalar, then

(b) Prove, conversely.

provided Î» ‰ 0

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