微分中值定理的证明及推广

基于拉格朗日中值定理与柯西中值定理的基本原理,构建了罗尔定理不同系数的辅助函数,用这些辅助函数重新证明了拉格朗日中值定理和柯西中值定理,并且推广了微分中值定理.

The Proof of Differential Mean Value Theorem and Extension

Based on the Lagrange theorem and cauchy mid - value theorem are obtained, the basic principles of constructing the auxiliary of different coefficient of rolle＇s theorem. Function, use the auxiliary function to the Lagrange theorem and cauchy mid - value theorem are obtained, and the promotion of the differential Value theorem.