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exponential function

Mathematical function with a constant base and a variable exponent, denoted exp_a(x) or a^x

Entitytype of mathematical functionQ168698

Also known as exponential · exponential function of base a · exponential map

Instance of: type of mathematical function
Subclass of: transcendental function
, unary function
, entire function

Overview

From Wikipedia, the free encyclopedia · Read full article · Text CC BY-SA 4.0

In mathematics, the exponential function is the unique real function which maps zero to one and has a derivative everywhere equal to its value. It is denoted ⁠⁠ or ⁠⁠; the latter is preferred when the argument ⁠⁠ is a complicated expression. It is called exponential because its argument can be seen as an exponent to which a constant number e ≈ 2.718, the base, is raised. There are several other definitions of the exponential function, which are all equivalent although being of very different nature.

Overview

All data

35 statements · 14% with external sources · numbers in brackets are citations

Opposite of: logarithm criterion used: inverse function
Different from: natural exponential function
power function
exponential equation
Image of function: set of positive real numbers
Members / parts: exponentiation
Uses: exponentiation
Said to be the same as: antilogarithm

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21 identifiers linking exponential function across the web's reference databases

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statements

14%

externally sourced

Source last edited September 14, 2026. AIDB refreshes this page daily.

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AIDB. (2026). exponential function (Q168698). Retrieved from https://aidb.si/e/exponential-function-Q168698