Solved: (Two further formulas for the derivative).
Chapter 13, Problem 13.1.108(choose chapter or problem)
Formulas (4). (5), and (11) (below) are needed from time to time. Derive
(11) \(f^{\prime}(z)=u_{x}-i u_{y}, \quad f^{\prime}(z)=v_{y}+i v_{x}\).
Text Transcription:
f ‘(z) = u_x - i u_y, f ‘(z) = v_y + iv_x
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