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