Promotion of the mean value theorem and its application
LI Hui-xuan
Abstract：In this paper, several common mean value theorems, such as Fermat’s theorem, Rolle theorem, Lagrange mean value theorem, Cauchy mean value theorem and Taylor’s theorem, are extended to more general cases, and illustrated the monotonicity, limit, proof of the application of function inequality and identity etc. in application.
Keywords：Fermat’s theoremRolle theoremLagrange mean value theoremCauchy mean value theoremTaylor’s theorem
Publication Date：2015-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：5( 59-63 )