Taylor's theorem
id:
taylor-s-theorem-180-12114492
title:
Taylor's theorem
text:
In calculus, Taylor's theorem gives an approximation of a k
-times differentiable function around a given point by a polynomial of degree k, called the k
-th-order Taylor polynomial. For a smooth function, the Taylor polynomial is the truncation at the order k of the Taylor series of the function. The first-order Taylor polynomial is the linear approximation of the function, and the second-order Taylor polynomial is often referred to as the quadratic approximation. There are several versions of
brand slug:
wiki
category slug:
encyclopedia
description:
Approximation of a function by a truncated power series
original url:
https://en.wikipedia.org/wiki/Taylor%27s_theorem
date created:
2001-08-06T19:41:24Z
date modified:
2024-09-05T13:01:32Z
main entity:
{"identifier":"Q1137206","url":"https://www.wikidata.org/entity/Q1137206"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/6/64/Taylorspolynomialexbig.svg","width":600,"height":480}
fields total:
13
integrity:
16