Let $G$ be a region in a complex plane. Suppose $f:G\to\mathbb C$ is analytic and one-one. Show that $f'(z)$ is not zero for any $z$ in $G$.
I was trying to do the contradiction method. But I can't conclude anything. Please help
2026-03-25 11:03:17.1774436597
Derivative of an analytic one-to-one map has no zeros
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