A Straightforward Approach to the Product Rule

De Camargo presents an alternative approach to the proof of the product rule for differentiation which avoids nonintuitive steps. The key is to recognize the product fg as part of (f + g)2. Another possibility is to use that a function is differentiable at a point c if and only if it can be locally...

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Veröffentlicht in:	The American mathematical monthly 2019-09, Vol.126 (8), p.754-754
1. Verfasser:	de Camargo, André Pierro
Format:	Artikel
Sprache:	eng
Schlagworte:	Differential equations MATHBITS Mathematical analysis Mathematical functions MSC: Primary 26A06 Proof theory Secondary 97I40
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	De Camargo presents an alternative approach to the proof of the product rule for differentiation which avoids nonintuitive steps. The key is to recognize the product fg as part of (f + g)2. Another possibility is to use that a function is differentiable at a point c if and only if it can be locally approximated by an affine function.
ISSN:	0002-9890 1930-0972
DOI:	10.1080/00029890.2019.1634449