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Visualizing Leibniz's Rule

by Marc Frantz

This article originally appeared in:
Mathematics Magazine
April, 2001

Subject classification(s): Calculus | Several Variable Calculus | Multiple Integrals | Partial Derivatives
Applicable Course(s): 3.3 Mainstream Calculus III, IV

The author presents a geometric interpretation of Leibniz's rule for differentiating under the integral sign, and gives an informal visual derivation of the rule.

A pdf copy of the article can be viewed by clicking below. Since the copy is a faithful reproduction of the actual journal pages, the article may not begin at the top of the first page.

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Capsule Course Topic(s):
Multivariable Calculus | Partial Derivatives, Differentiability
Multivariable Calculus | Double Integrals
Multivariable Calculus | Triple Integrals
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