Exponential Curve

exponential curve
The exponential curve y==E^x



The exponential curve is defined as E^x, where E is the constant Limit[(1 + 1/x)^x, x -> ∞]


y == E^x


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 .

catenay by Caustic
parallel rays above the expontial curve

The exponential curve E^x has the interesting property itself. It is the only function whose derivative is itself.

Related Web Sites

See: Websites on Plane Curves, Plane Curves Books .

Robert Yates: Curves and Their Properties .