The exponential curve is defined as E^x, where E is the constant Limit[(1 + 1/x)^x, x -> ∞]
y == E^x exp_plot.gcf
derivation of E as compound interest
E as a series
The Catacaustic of the exponential curve E^x with light rays from above and parallel to the y axes is the catenary.
The exponential curve E^x has the interesting property itself. It is the only function whose derivative is itself.
See: Websites on Plane Curves, Printed References On Plane Curves.
Robert Yates: Curves and Their Properties.
Exponential function.blog comments powered by Disqus