关于一类函数的右导数

On the Right-hand Derivative of Some Functions

设f（x）在[0，1]有界，在[0，1]连续，并且limf（x）不存在，令F（x）＝∫f（t）dt，x∈[0.1]，讨论了F（x）在x＝0点右导数的存在性及其求法，同时指出了文献[1]的一个相关结论不能成立。

Suppose f(x) is bounded on [0, 1 ] and continuous in [0.1] respectively and limf(x) does not exist, and let F(x)=f(t)dt, x∈ (0,1 ]. In this paper a method is proposed for solving the existence and eva1uatlon of the right - hand derivative of F(x). in addition, a wrong conclusion in [1] is pointed out.