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!!! Overview [1]
[{$pagename}] normally, is a [function] of the form:
%%prettify
{{{
𝒇(x) = bⁿ
}}}
/%
in which the input variable x occurs as an exponent.
[Exponential function/expo-function.jpg]
A function of the form {\displaystyle f(x)=b^{x+c}, where c is a constant, is also considered an [{$pagename}] and can be rewritten as 𝒇(x)=ab^{x}, with a=b^{c}
[{$pagename}], as functions of a real variable, are uniquely characterized by the fact that the growth rate of such a function (i.e., its [derivative]) is directly proportional to the value of the function. The constant of proportionality of this relationship is the natural logarithm of the base b.
!! More Information
There might be more information for this subject on one of the following:
[{ReferringPagesPlugin before='*' after='\n' }]
----
* [#1] - [Exponential_function|Wikipedia:Exponential_function|target='_blank'] - based on information obtained 2017-12-11-