Exponential function and its derivative revisited

• Autores: weng kin ho, Foo Him Ho, Tuo-Yeong Lee
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 44, Nº. 3, 2013, págs. 423-428
• Idioma: inglés
• DOI: 10.1080/0020739x.2012.703341
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• Resumen

  • Most of the available proofs for rely on results involving either power series, uniform convergence or a round-about definition of the natural logarithm function ln(x) by the definite integral , and are thus not readily accessible by high school teachers and students. Even instructors of calculus courses avoid showing the complete proof to their undergraduate students because a direct and elementary approach is missing. This short article fills in this gap by supplying a simple proof of the aforementioned basic calculus fact.