摘要
对于分段函数的求导,关键是确定分段点处的导数,通常的方法是先计算左、右导数,再根据导数与左、右导数的关系进行判定,较为繁琐.根据拉格朗日中值定理,给出利用左、右极限计算导数的方法,可以较方便地求出分段函数的导数.
The derivatives of points of discontinuity of a discontinuous function play an important role when computing the function＇s derivative. The common method is based on the computation of left and right derivatives of points of discontinuity as well as their relationships. However, this method is too cumbersome in practice. Propose a succinct method to compute the derivatives of discontinuous functions by using of leverage left and right limits based on Lagrange mean-value theorem, the method can be used to easily calculate the derivative of a discontinuous function.
出处
《高师理科学刊》
2017年第8期86-87,99,共3页
Journal of Science of Teachers＇College and University
关键词
分段函数
导数
左极限
右极限
discontinuous functions
derivatives
left limit
right limit
