大师作文网y=1+lnx分之1-lnx 求导数
来源：学生作业帮 编辑：大师作文网作业帮 分类：数学作业 时间：2024/09/23 21:30:07
y=1+lnx分之1-lnx 求导数
y=1-x+x^2分之1+x-x^2 求导数
y=1-x+x^2分之1+x-x^2 求导数
y=(1+x-x^2)/(1-x+x^2)
y'=[(1+x-x^2)'*(1-x+x^2)-(1+x-x^2)*(1-x+x^2)']/(1-x+x^2)^2
=[(-2x+1)*(1-x+x^2)-(1+x-x^2)*(2x-1)]/(1-x+x^2)^2
=[-(2x-1)*(1-x+x^2)-(1+x-x^2)*(2x-1)]/(1-x+x^2)^2
=(2x-1)*(-1+x-x^2-1-x+x^2)/(1-x+x^2)^2
=(2x-1)*(-2)/(1-x+x^2)^2
=-2(2x-1)/(1-x+x^2)^2
y'=[(1+x-x^2)'*(1-x+x^2)-(1+x-x^2)*(1-x+x^2)']/(1-x+x^2)^2
=[(-2x+1)*(1-x+x^2)-(1+x-x^2)*(2x-1)]/(1-x+x^2)^2
=[-(2x-1)*(1-x+x^2)-(1+x-x^2)*(2x-1)]/(1-x+x^2)^2
=(2x-1)*(-1+x-x^2-1-x+x^2)/(1-x+x^2)^2
=(2x-1)*(-2)/(1-x+x^2)^2
=-2(2x-1)/(1-x+x^2)^2