Question: Question about mat334 Complex Variables - textbook Complex variables Please help me to prove these questions, and explain in detailed steps. Question : Show that

Question about mat334 Complex Variables - textbook Complex variables

Please help me to prove these questions, and explain in detailed steps.

Question: Show that if f is analytic on a domain D and g is analytic on a domain Ohm containing the range of f, then g(f(z)) is analytic on D, and the chain rule holds: (g(f(z)))' = g'(f(z))f'(z).

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