一组三个函数乘积的高阶导数公式及其行列式表示

A Group Formula for Derivatives of Higher Order for Product of Three Functions and Determinant Expression

研究了三个函数乘积的高阶导数,得到了一组相应的导数公式.利用这些公式求该类函数的高阶导数以及进行近似计算,或做函数的近似表示,将起到较好的简化作用.

This paper studies derivatives of higher order about product of three functions, and obtains a group dependent derivative formulas. The original operaton will be simplified by using these formulas to find derivatives of higher order for same kind functions, to conduct approximation operation and to give approximarion expression.