Quantum redactiones paginae "Functio exponentialis" differant
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'''Functio exponentialis''' est [[functio]] <math> f(x) = a^x </math>, ubi <math>x</math> exponens vocatur, et numerus realis <math>a>0</math> basis.▼
'''Functio exponentialis''' est [[functio]] <math> f(x) = e^x </math> ubi <math>e</math> est [[Numerus Euleri]] [[numerus irrationalis|irrationalis]]
* Appropinquante <math>x</math> [[infinitas|infinitatem]], <math>e^x</math> appropinquat infinitatem.
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[[Derivativum]] functionis exponentialis ''eadem functio'' est. [[Euleri identitas]] functionem in numeris complexis quoque definit: <math>e^{i \pi} + 1 = 0</math>
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== Definitio ==
Functio exponentialis potest definari ut esse limes
<math>e^x=\lim_{n \rightarrow \infty}\left(1+\frac{x}{n}\right)^n</math>
== Applicationes ==
Functiones exponentiales applicationes diversas habent in disciplinis plurimis mathematicae et scientiae naturali. Generaliter, functio describit auctum velociter augentem, sicut in populationibus in [[biologia]], et in [[usura]] in [[oeconomica]]. Et igitur auctus talis saepe auctus exponentialis vocatur.
== Nexus externi ==
* Hazewinkel, Michiel, ed. (2001), [https://www.encyclopediaofmath.org/index.php/Exponential_function "Exponential function"] , ''[[:en:Encyclopedia_of_Mathematics|Encyclopedia of Mathematics]]'', [[:en:Springer_Science+Business_Media|Springer]], [[:en:International_Standard_Book_Number|ISBN]] [[:en:Special:BookSources/978-1-55608-010-4|978-1-55608-010-4]]
* [http://mathworld.wolfram.com/about/author.html Weisstein, Eric W.] "Exponential Function." From [http://mathworld.wolfram.com/ ''MathWorld'']--A Wolfram Web Resource. http://mathworld.wolfram.com/ExponentialFunction.html
[[Categoria:Mathematica]]
{{Myrias|Mathematica}}
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