Cauchy Riemann Show that {∂/∂x|f(z)|}^2 + {∂/∂y|f(z)|}^2 = |f’(z)|^2

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Cauchy Riemann

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Cauchy Riemann: S.T : f(z) = (r+k2/r)cosθ+i(r-k2/r)sinθ is a regular function: find f’(z)
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  2. cauchy riemann d/dxf(z)^2 d/dyf(z)^2=f’(z)^2
  3. cauchy riemann d/dxf(z)2 d/dyf(z)2=f’(z)2
  4. cauchy riemann d/dxf(z)2=f’(z)2
  5. cauchy riemann d/dxf(z)2 d/dyf(z)2
  6. d/dxf(z)^2 d/dyf(z)^2=f’(z)^2 cauchy riemann
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