一类特殊球面螺旋线的高阶求导

A New Method for Higher Order Derivative of Special Spherical Helix

根据微分几何基本理论,定义一类特殊的球面螺旋线。利用三角函数系,给出三角函数列中任何两个不同函数乘积的高阶求导公式,并对其高阶导数的求解及其性质进行研究,从而得出高阶导数一般性的结论及公式表达。

A special spherical helix was defined by applying the relevant theory of differential geometry.According to trigonometric function system,the higher order derivative formula for product of any two different functions was proposed. The solution and properties of the higher order derivative were studied. General conclusion and formula expression of the higher order derivative were drawn.