Exponential Curve
Plot[E^x, {x, -2, 2}, AspectRatio -> Automatic, GridLines -> Automatic]
Description
The exponential curve is defined as E^x, where E is the constant
E === Limit[(1 + 1/x)^x, x -> Infinity] (* True *)
Formula
y == E^x
Properties
Relation to Log
Caustic of expontial curve
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.