Lambert W function
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.
The College Mathematics Journal
Required Publisher's Statement
Copyright by the Mathematical Association of America.
This is the author's version of the paper.
Ćurgus, Branko, "An Exceptional Exponential Function" (2006). Mathematics Faculty Publications. 69.
Subjects - Topical (LCSH)
Exponential functions; Art appreciation--Mathematical models
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