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Complex Variables : Differentiation – Quotient Formula

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November 16th, 2022

7. Prove that dzn-1/ dz = nzn-1, for the derivative of zn remains valid when n is a negative integer (n = -1, -2, ???), provided that z≠ 0.

(Suggestion: Write m = -n and use the formula for the derivative of a quotient of two functions).

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