Finding derivative of $f(z) =\sqrt r[\cos\theta/2 +i \sin\theta/2]$, where $r>0$ and $0<\theta<2π$.

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Show that $f(z) =\sqrt r [\cos\theta/2 +i \sin\theta/2]$, where $r>0$, $0<\theta<2π$ is differentiable. Find $f'(z)$.

I have tried to solve it by cauchy-rieman(CR equation) but got stuck in midway. Please help me to solve it. Thanks a lot