- Calculus and Analysis
- Complex Analysis
Complex Variables : Differentiation - Quotient Formula
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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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The quotient rule is used to prove a differential equality. The solution is detailed and well presented.