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The Product and Quotient Rules Revisited

by Roger Eggleton and Vladimir Kustov

This article originally appeared in:
College Mathematics Journal
September, 2008

Subject classification(s): Calculus | Single Variable Calculus | Differentiation
Applicable Course(s): 3.1 Mainstream Calculus I | 3.4 Non-mainstream Calc I

Mathematical elegance is illustrated by rewriting the product and quotient rules of basic calculus in strikingly parallel forms. Applications are given for which these forms suggest meaning. Corresponding rules for second derivatives are given; the product rule is familiar, but the quotient rule is less so.

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Capsule Course Topic(s):
One-Variable Calculus | Differentiation: Calculation Rules
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