x/x^2-x+3求导

问题描述:

x/x^2-x+3求导

原式化简得到 1/x-x+3 对x求导=-(1/x^2)-1

根据 求导公式(y/x)'=(y'x-yx')/x² 得x/(x²-x+3)导数为 [x‘(x²-x+3) - x(x²-x+3)']/(x²-x+3)²=[(x²-x+3)-x(2x-1)]/(x²-x+3)²=(-x²+3)/(x²-x+3)²...