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I have solved this sorry.
I have solved part a of this but not b
$\displaystyle f'(0) = \lim_{z\to 0} \frac{f(z)-f(0)}{z-0} = \lim_{z\to 0} \frac{2z\bar z}{z} = \lim_{z\to 0}2\bar z = ?$
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