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On positive functions with positive derivatives

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Abstract:

Three proofs are given for the fact that the derivative of an everywhere-positive non-constant real polynomial function must change sign. This self-contained note could find classroom use in courses on calculus or abstract algebra.

Document Type: Miscellaneous

DOI: http://dx.doi.org/10.1080/002073902321093568

Publication date: November 1, 2002

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