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Article
An Exceptional Exponential Function
The College Mathematics Journal
  • Branko Ćurgus, Western Washington University
Document Type
Article
Publication Date
11-1-2006
Disciplines
Abstract
We show that there is a link between a standard calculus problem of finding the best view of a painting and special tangent lines to the graphs of exponential functions. Surprisingly, the exponential function with the "best view" is not the one with the base e. A similar link is established for families of functions obtained by composing exponential functions with a fixed linear function. The key tool in the proof is the Lambert W function.
Citation Information
Branko Ćurgus. "An Exceptional Exponential Function" The College Mathematics Journal Vol. 37 Iss. 5 (2006) p. 344 - 354
Available at: http://works.bepress.com/branko_curgus/14/