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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.