求y=(x-1)^2(x+1)的导数

来源:学生作业帮助网 编辑:六六作业网 时间:2024/05/18 00:57:51
求y=(x-1)^2(x+1)的导数求y=(x-1)^2(x+1)的导数求y=(x-1)^2(x+1)的导数y=(x-1)^2*(x+1)y''=(x-1)^2*(x+1)''+((x-1)^2)''*(x

求y=(x-1)^2(x+1)的导数
求y=(x-1)^2(x+1)的导数

求y=(x-1)^2(x+1)的导数
y=(x-1)^2*(x+1)
y'=(x-1)^2*(x+1)'+((x-1)^2)' * (x+1)
=(x-1)^2+2(x-1)(x+1)
=(x-1)(x-1+2x+2)
=(x-1)(3x+1)
=3x^2-2x-1
或者先展开:
y=(x-1)^2(x+1)
=(x-1)(x^2-1)
=x^3-x^2-x+1
y'=3x^2-2x-1