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Another Proof of Clairaut’s Theorem

Peter J. McGrath
The American Mathematical Monthly
Vol. 121, No. 2 (February 2014), pp. 165-166
DOI: 10.4169/amer.math.monthly.121.02.165
Stable URL: http://www.jstor.org/stable/10.4169/amer.math.monthly.121.02.165
Page Count: 2
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Abstract

Abstract This note gives an alternate proof of Clairaut’s theorem—that the partial derivatives of a smooth function commute—using the Stone–Weierstrass theorem.

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