平面曲线切割函数的一阶和二阶导数

First and Second Derivative of Tangent and Secant Function of Plane Curve

使用几何分析的方法,构造了两组形式计算公式,并使用其计算了平面曲线的切割函数的一阶导数和二阶导数的表达式,讨论了这两个导数在间断点处的极限情况,得到的结果:给其补充上合适的值之后,切割函数的一阶导数和二阶导数就处处连续了。

By geometry analysis,two groups of formal computation formula are constructed and the first and second derivative expressions of the tangent and secant function are calculated.The limits of the discontinuity points of the tangent and secant function of plane curve are discussed obtaining a result：if given the proper value,the first and second derivatives of the tangent and secant function are continuous everywhere.