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Title: Exponential Function -- from Wolfram MathWorld

Open Graph Title: Exponential Function -- from Wolfram MathWorld

X Title: Exponential Function -- from Wolfram MathWorld

Description: The most general form of "an" exponential function is a power-law function of the form f(x)=ab^(cx+d), (1) where a, c, and d are real numbers, b is a positive real number, and x is a real variable. When c is positive, f(x) is an exponentially increasing function and when c is negative, f(x) is an exponentially decreasing function. In contrast, "the" exponential function (in elementary contexts sometimes called the "natural exponential function") is the...

Open Graph Description: The most general form of "an" exponential function is a power-law function of the form f(x)=ab^(cx+d), (1) where a, c, and d are real numbers, b is a positive real number, and x is a real variable. When c is positive, f(x) is an exponentially increasing function and when c is negative, f(x) is an exponentially decreasing function. In contrast, "the" exponential function (in elementary contexts sometimes called the "natural exponential function") is the...

X Description: The most general form of "an" exponential function is a power-law function of the form f(x)=ab^(cx+d), (1) where a, c, and d are real numbers, b is a positive real number, and x is a real variable. When c is positive, f(x) is an exponentially increasing function and when c is negative, f(x) is an exponentially decreasing function. In contrast, "the" exponential function (in elementary contexts sometimes called the "natural exponential function") is the...

Opengraph URL: https://mathworld.wolfram.com/ExponentialFunction.html

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Domain: mathworld.wolfram.com

DC.TitleExponential Function
DC.CreatorWeisstein, Eric W.
DC.DescriptionThe most general form of "an" exponential function is a power-law function of the form f(x)=ab^(cx+d), (1) where a, c, and d are real numbers, b is a positive real number, and x is a real variable. When c is positive, f(x) is an exponentially increasing function and when c is negative, f(x) is an exponentially decreasing function. In contrast, "the" exponential function (in elementary contexts sometimes called the "natural exponential function") is the...
DC.Date.Modified2022-04-05
DC.Subject33B10
DC.RightsCopyright 1999-2026 Wolfram Research, Inc. See https://mathworld.wolfram.com/about/terms.html for a full terms of use statement.
DC.Formattext/html
DC.Identifierhttps://mathworld.wolfram.com/ExponentialFunction.html
DC.Languageen
DC.PublisherWolfram Research, Inc.
DC.Relation.IsPartOfhttps://mathworld.wolfram.com/
DC.TypeText
Last-Modified2022-04-05
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exponentially increasing functionhttps://mathworld.wolfram.com/ExponentiallyIncreasingFunction.html
exponentially decreasing functionhttps://mathworld.wolfram.com/ExponentiallyDecreasingFunction.html
natural exponential functionhttps://mathworld.wolfram.com/NaturalExponentialFunction.html
ehttps://mathworld.wolfram.com/e.html
natural logarithmhttps://mathworld.wolfram.com/NaturalLogarithm.html
differential equationhttps://mathworld.wolfram.com/DifferentialEquation.html
derivativehttps://mathworld.wolfram.com/Derivative.html
entire functionhttps://mathworld.wolfram.com/EntireFunction.html
complex planehttps://mathworld.wolfram.com/ComplexPlane.html
Wolfram Languagehttp://www.wolfram.com/language/
Exphttp://reference.wolfram.com/language/ref/Exp.html
natural logarithmhttps://mathworld.wolfram.com/NaturalLogarithm.html
Maclaurin serieshttps://mathworld.wolfram.com/MaclaurinSeries.html
factorialhttps://mathworld.wolfram.com/Factorial.html
limithttps://mathworld.wolfram.com/Limit.html
Gudermannianhttps://mathworld.wolfram.com/Gudermannian.html
continued fractionhttps://mathworld.wolfram.com/ContinuedFraction.html
Cishttps://mathworld.wolfram.com/Cis.html
Complex Exponentiationhttps://mathworld.wolfram.com/ComplexExponentiation.html
ehttps://mathworld.wolfram.com/e.html
Euler Formulahttps://mathworld.wolfram.com/EulerFormula.html
Exponenthttps://mathworld.wolfram.com/Exponent.html
Exponent Lawshttps://mathworld.wolfram.com/ExponentLaws.html
Exponential Decayhttps://mathworld.wolfram.com/ExponentialDecay.html
Exponential Growthhttps://mathworld.wolfram.com/ExponentialGrowth.html
Exponential Ramphttps://mathworld.wolfram.com/ExponentialRamp.html
Exponentially Decreasing Functionhttps://mathworld.wolfram.com/ExponentiallyDecreasingFunction.html
Exponentially Increasing Functionhttps://mathworld.wolfram.com/ExponentiallyIncreasingFunction.html
Fourier Transform--Exponential Functionhttps://mathworld.wolfram.com/FourierTransformExponentialFunction.html
Gudermannianhttps://mathworld.wolfram.com/Gudermannian.html
Natural Exponential Functionhttps://mathworld.wolfram.com/NaturalExponentialFunction.html
Phasorhttps://mathworld.wolfram.com/Phasor.html
Powerhttps://mathworld.wolfram.com/Power.html
Sigmoid Functionhttps://mathworld.wolfram.com/SigmoidFunction.html
Explore this topic in the MathWorld classroomhttps://mathworld.wolfram.com/classroom/ExponentialFunction.html
https://functions.wolfram.com/ElementaryFunctions/Exp/https://functions.wolfram.com/ElementaryFunctions/Exp/
exponential function https://www.wolframalpha.com/input/?i=exponential+function
15.25 + 7.90 + 3.12https://www.wolframalpha.com/input/?i=15.25+%2B+7.90+%2B+3.12
Gamma(z)*Gamma(1-z)https://www.wolframalpha.com/input/?i=Gamma%28z%29*Gamma%281-z%29
Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing.http://www.amazon.com/exec/obidos/ASIN/0486612724/ref=nosim/ericstreasuretro
CRC Standard Mathematical Tables, 28th ed.http://www.amazon.com/exec/obidos/ASIN/1584882913/ref=nosim/ericstreasuretro
Experimentation in Mathematics: Computational Paths to Discovery.http://www.amazon.com/exec/obidos/ASIN/1568811365/ref=nosim/ericstreasuretro
https://web.archive.org/web/20080601064209/http://algo.inria.fr:80/csolve/sstein.htmlhttps://web.archive.org/web/20080601064209/http://algo.inria.fr:80/csolve/sstein.html
Mathematische Modelle aus den Sammlungen von Universitäten und Museen, Bildband.http://www.amazon.com/exec/obidos/ASIN/3528089911/ref=nosim/ericstreasuretro
Handbook of Complex Variables.http://www.amazon.com/exec/obidos/ASIN/0817640118/ref=nosim/ericstreasuretro
An Atlas of Functions.http://www.amazon.com/exec/obidos/ASIN/0387488065/ref=nosim/ericstreasuretro
The Mathematica GuideBook for Programming.http://www.amazon.com/exec/obidos/ASIN/0387942823/ref=nosim/ericstreasuretro
https://www.mathematicaguidebooks.org/https://www.mathematicaguidebooks.org/
Analytic Theory of Continued Fractions.http://www.amazon.com/exec/obidos/ASIN/0828402078/ref=nosim/ericstreasuretro
A Handbook on Curves and Their Properties.http://www.amazon.com/exec/obidos/ASIN/087353039X/ref=nosim/ericstreasuretro
CRC Standard Mathematical Tables and Formulae.http://www.amazon.com/exec/obidos/ASIN/1584882913/ref=nosim/ericstreasuretro
Exponential Functionhttps://www.wolframalpha.com/input/?i=exponential+function
Weisstein, Eric W.https://mathworld.wolfram.com/about/author.html
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