笔者在文[1]中对原函数与导函数对称性联系进行了探究,本文就原函数与导函数周期性和奇偶性联系进行探究,得到了几个漂亮的结论.定理1(1)若可导函数f(x)是以T为周期的周期函数,则其导函数f′(x)也是以T为周期的周期函数; The author explores the relation between the symmetry of the original function and the derivative function in the paper [1]. In this paper, we investigate the periodic and parity relations of the derivative function and the derivative function, and get some beautiful conclusions. Theorem 1 (1) The derivable function f (x) is a periodic function with a period of T, and its derivative function f ’(x) is also a periodic function with a period of T;