x^3⼀(x-1)^2的导数是多少?

2025-04-13 11:11:49
推荐回答(2个)
回答1:

(x³/(x-1)²)'
=[3x²(x-1)²-2x³(x-1)]/(x-1)⁴
=[3x²(x-1)-2x³]/(x-1)³
=(x³-3x²)/(x-1)³

回答2:

y'=3x^2(x-1)^2-x^3(2x-2)/(x-1)^4
=x^4-4x^3+3x^2/(x-1)^4
算到这样可以吗?