Raised the differential method of resolving rational f unction into fractions, and formulas were suggested of the coefficients which co rrespond to liner factor and quadratic prime factor.

• 根据有理函数及其导数性质；用微分法把有理函数分解为部分分式的和；给出了一次因式所对应的部分分式各系数和二次质因式前两对系数的计算公式.；此方法克服了初等恒等变换法通过解方程组确定系数；运算过程繁琐、算量大的缺点；也体现了高等数学知识的连贯性