一阶导数算出来后,二阶不会算了,求二阶导数怎么算

2025-05-09 04:54:00
推荐回答(1个)
回答1:

y'=(x^3-3x^2)·(x-1)^(-3)

y''=(3x^2-6x)·(x-1)^(-3)-3(x^3-3x^2)·(x-1)^(-4)

=3x·(x-1)^(-4)·[(x-2)(x-1)-(x^2-3x)]

=3x·(x-1)^(-4)·2

=6x·(x-1)^(-4)