Increment theorem
id:
increment-theorem-293-17692322
title:
Increment theorem
text:
In nonstandard analysis, a field of mathematics, the increment theorem states the following: Suppose a function y = f(x) is differentiable at x and that Δx is infinitesimal. Then for some infinitesimal ε, where If Δ x ≠ 0 then we may write which implies that Δ y Δ x ≈ f ′ , or in other words that Δ y Δ x is infinitely close to f ′ , or f ′ is the standard part of Δ y Δ x . A similar theorem exists in standard Calculus. Again assume that y = f(x) is differentiable, but now let Δx be a nonzero sta
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original url:
https://en.wikipedia.org/wiki/Increment_theorem
date created:
date modified:
2023-07-08T23:57:07Z
main entity:
{"identifier":"Q6015420","url":"https://www.wikidata.org/entity/Q6015420"}
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