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How to construct an auxiliary function to prove problems related to differential mean value theorem

Abstract

This article gives a regular and practical method to prove a kind of problems related to differential mean value theorem which need to construct an auxiliary function.

Iterative Methods for Nonlinear EquationsFunctional Equations Stability ResultsAdvanced Numerical Analysis TechniquesMathematicsConstruct (python library)Function (biology)Value (mathematics)Differential (mechanical device)Mean value theorem (divided differences)Calculus (dental)Mathematical economicsPure mathematicsComputer science
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How to construct an auxiliary function to prove problems related to differential mean value theorem · Scinovex