The "natural exponential function" is the name sometimes given in elementary contexts to the function , where e is the base of the natural logarithm.
While mathematicians consistently use the unqualified term "exponential function" to refer to , educators sometimes use that term to refer to the more general but very closely related class of power law functions of the form .
See also
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Cite this as:
Weisstein, Eric W. "Natural Exponential Function." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/NaturalExponentialFunction.html