Let f(z) be the principal branch of z+i. (a) (2 points) Is f(z) differentiable at z...

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Let f(z) be the principal branch of z+i. (a) (2 points) Is f(z) differentiable at z = -1, z = i? (b) (8 points) Find the derivative of f(z) at all point from part (a) where it is differentiable. Let f(z) be the principal branch of z+i. (a) (2 points) Is f(z) differentiable at z = -1, z = i? (b) (8 points) Find the derivative of f(z) at all point from part (a) where it is differentiable.