y=x^2⼀(1-x)的二阶导数

求过程
2024-11-22 16:47:43
推荐回答(2个)
回答1:

y'=[2x(1-x)+x^2]/(x-1)^2=(2x-x^2)/(x-1)^2
y''=[(2-2x)(x-1)^2-(2x-x^2)*2(x-1)]/(x-1)^4= -2/(x-1)^3

回答2:

y=x^2/(1-x)=(x^2-1+1)/(1-x)
=-1-x+1/(1-x)
y'=-1+1/(1-x)^2
y''=2/(1-x)^3