Exponential Curve

exponential curve
The exponential curve y==E^x

Description

The exponential curve is defined as E^x, where E is the constant

Limit[(1 + 1/x)^x, x -> Infinity]

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 .

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.

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