Mean value theorem
id:
mean-value-theorem-185-15342934
title:
Mean value theorem
text:
In mathematics, the mean value or Lagrange theorem from the branch of mathematical analysis states, roughly, that for a "smooth" arc between two endpoints on a plane, there is at least one point on the arc whose tangent line is parallel to the line connecting its endpoints. The MVT's importance lies in its serving as the basis for the proof of other important mathematical theorems, including the fundamental theorem of calculus, and, an implication—that at some point, a curve's slope must be equa
brand slug:
wiki
category slug:
encyclopedia
description:
On the existence of a tangent to an arc parallel to the line through its endpoints
original url:
https://en.wikipedia.org/wiki/Mean_value_theorem
date created:
2001-08-06T12:25:10Z
date modified:
2024-09-07T20:17:27Z
main entity:
{"identifier":"Q189136","url":"https://www.wikidata.org/entity/Q189136"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/e/ee/Mvt2.svg","width":744,"height":657}
fields total:
13
integrity:
16