求ln[(1+3x^2)/(2-x^2)]导数
问题描述：
求ln[(1+3x^2)/(2-x^2)]导数
答
ln[(1+3x^2)/(2-x^2)]复合函数求导y'=[(2-x^2)/(1+3x^2)]*[(1+3x^2)/(2-x^2)]'==[(2-x^2)/(1+3x^2)]*[(1+3x^2)'*(2-x^2)-(1+3x^2)*(2-x^2)']/(2-x^2)^2=[6x(2-x^2)+2x(1+3x^2)]/(2-x^2)(1+3x^2)=14x/(2-x^2)(1+3x^2)...