(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Show that f(z) = ¯z is not differentiable for any z ∈ C.

2. Relevant equations

3. The attempt at a solution

Is it because the Cauchy-Reimann Equations don't hold?

Z (conjugate) = x-iy

u(x,y)=x

v(x,y=-iy

du/dx=1≠dv/dy=-1

du/dy=0≠-dv/dx=0

Edit: Is there another approach? Because the CR Equations is something we learned later on.

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# Z (conjugate) not analytic?

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