An Exceptional Exponential FunctionThe College Mathematics Journal
AbstractWe 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 InformationBranko 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/