The Art of Interface

# exp — exponential function

Category. Mathematics.

Abstract. Exponent: definition, graph, properties and identities.

## 1. Definition

Exponential function is the function of kind

ex

where constant e is selected so that slope of the function at point x = 0 is 45°.

## 2. Graph

Exponential function is defined everywhere on real axis. Its graph is depicted below — fig. 1. Fig. 1. Graph of the exponential function y = ex.

Function codomain is positive half of the real axis: (0, +∞).

## 3. Identities

By definition:

elnxx

Negative argument:

ex = 1 /ex

Sum and difference of arguments:

ex + y = ex ey
exy = ex/ey

Product of arguments:

exy = (ex)y

Base change:

ax = ex lna

## 4. Support

Exponential function exp is supported in:

Exponential function of the complex argument exp is supported in:

## 5. How to use

To calculate exponent of the number:

``exp(-1);``

To calculate exponent of the current result:

``exp(Rslt);``

To calculate exponent of the number x in memory:

``exp(Mem[x]);``