Complex Analysis: Theory and Applications · Problem 3.2.2

Sequences, Series, and Fractals — Howell & Matthews

Mathematics — Complex Analysis · cauchy-riemann-derivative-identity

Problem

Let ff be a differentiable function. Verify the identity ∣f′(z)∣2=ux2+vx2=uy2+vy2|f'(z)|^2 = u_x^2 + v_x^2 = u_y^2 + v_y^2.

Related theory

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