摘要
微分中值定理是微积分学中的重要定理,其中柯西中值定理的应用尤为广泛.为拓展它的应用范围,利用相同的手法,将涉及两个光滑函数的柯西微分中值定理推广到了n个光滑函数的情形,得到另一种推广的微分中值公式.
The differential mean value theorems are important theorems in Calculus. In particular, the application of Cauchy's mean value theorem is extensive. For the its ,the Cauchy's mean value theorem that involves two smooth functions is extended to involvingn smooth functions by , and thus obtaining differential mean value.
出处
《陇东学院学报》
2008年第5期4-6,共3页
Journal of Longdong University
关键词
柯西
微分
光滑函数
中值定理
推广
Cauchy
differentiation
smooth function
mean value theorem
extension