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Expert Solution

Answer-1. The complex function

is differentiable every where. We use the Cauchy-Riemann equations to show this. For, we write

where

Now, we compute

and hence it follows that

and hence satisfies the Cauchy-Riemann equations at all the points . Thus, it follows that is differentiable at all the points .

Colby Messinger answered 2 years ago

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