摘要
给出利用求导公式及求导法则来判断一个分段函数在分段点处是否可导以及在可导情况下如何求该导数的一个定理,并举例说明该定理的应用及其局限性。
In this article, by using the derivative formulas and finding derivative rules, we give a theorem for discriminating whether a piecewise function is derivable at the point of division and how to find its derivative if it is derivatable. Examples are also given about the applications and disadvantages of this theorem.