Mei Li
Abstract
This paper provides an inference of Rolle mean value theorem and a new structure method of auxiliary function so as to prove Lagrange mean value theorem and Cauchy mean value theorem.
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This paper provides an inference of Rolle mean value theorem and a new structure method of auxiliary function so as to prove Lagrange mean value theorem and Cauchy mean value theorem.
Key concepts: Mean value theorem (divided differences), Mathematics, Mean value, Cauchy distribution, Value (mathematics), Fundamental theorem of calculus, Differential (mechanical device), Picard–Lindelöf theorem