Title: Integral definition of the logarithmic function and the derivative of the exponential function in calculus
Abstract:Defining the logarithmic function as a definite integral with a variable upper limit, an approach used by some popular calculus textbooks, is problematic. We discuss the disadvantages of such a defini...Defining the logarithmic function as a definite integral with a variable upper limit, an approach used by some popular calculus textbooks, is problematic. We discuss the disadvantages of such a definition and provide a way to fix the problem. We also consider a definition-based, rigorous derivation of the derivative of the exponential function that is easier, more intuitive, and complies with the standard definitions of the number e, the logarithmic, and the exponential functions.Read More
Publication Year: 2014
Publication Date: 2014-11-27
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 2
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