John D. Cook 4/25/2026

nth derivative of a quotient

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This article discusses the mathematical formula for the nth derivative of a quotient, a less common but useful extension of the basic quotient rule. It begins by presenting the quotient rule in an unconventional form, then derives the second derivative, and finally reveals the general formula for any order derivative. The content references a 1948 paper from The American Mathematical Monthly, making it relevant to calculus and mathematical analysis.

nth derivative of a quotient

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