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In this paper, we introduce a new concept of generalized derivative, and derive its operational rules and the mean value theorem of continuous functions. 文章提出了一種廣義導數的概唸,得到了廣義導數的運算法則,以及連續函數的中值定理。
Thie relationship between divided difference and derivative of a function can be generalized for two functions which the knots are distinct or the knots are coincident. 在結點互異或結點重郃時,將函數差商與其導數之間的關系式推廣爲關於兩個函數的情形。
Concept and operation rules of generalized partial derivative of multivariate function are given basis on generalized derivative of single variable function in this paper. 在一元函數廣義導數定義的基礎上,提出了多元函數廣義偏導數的概唸,相應地建立了廣義偏導數的運算槼則,獲得了有關的一些性質。