微分中值定理与Newton-Leibniz公式的关系及证明

The Relationship Between Differential Mean Value Theorem and Newton-Leibniz Formula and Its Verification

在微分中值定理与Newton-leibniz公式可互相证明的基础上用Newton-Leibniz公式证明广义微分中值定理,从而证明了所有的微分中值定理与Newton-Leibniz公式均可相互证明。

Based on the mutual verification between differential mean value theorem and Newton-Leibniz formula, Newton-Leibniz formula can be used to prove differential mean value theorem in wide sense, and this indicates that all differential mean value theorems and Newton-Leibniz formulae can be verified each other.