关于拉格朗日中值定理证明的注记

A note on prouing of lagrange 's mid-value theorem

拉格朗日中值定理是微积分学中一个重要定理,对于拉格朗日中值定理的证明,关键是构造一个辅助函数F(X),使F(X)满足罗尔定理的条件f(a)=f(b),由罗尔定理证得结果。

Lagrange' s mid - value theorem is an important theorem in Calculus. For its proving , the key is to construct an auxiliary function F(x), so F(x) satisfying Rolls theorem condition ;f(a) =f(b). From Rolls theorem,it is proved . In this paper ,some methods of constructing auxiliary function on proving of Lagrange' s mid - value theorim are given .