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Cauchy Riemann equations

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(a) With the aid of the polar form of the Cauchy Riemann equations, derive the alternative form f'(z0)=(-i/z0)(u(theta)+iv(theta)) of the expression f'(z0).

(b) Use the expression for f'(z0) in part (a) to show that the derivative of the function f(z)=1/z(z can not be 0) is f'(z)=-1/z^2.

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Solution Summary

Cauchy Riemann equations are applied to these cases.

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