x²/x-1 的导数?

x²/x-1 的导数?
x²/x-1 的导数?

x²/x-1 的导数?
x²/(x-1)的导数是：
[x²/(x-1)]'=[(x²)'×(x-1)-x²×(x-1)']/(x-1)²
=[2x×(x-1)-x²×1]/(x-1)²
=(2x²-2x-x²)/(x-1)²
=(x²-2x)/(x-1)²

x²/x-1 的导数=[2x(x-1)-x²]/(x-1)²=(x²-2x)/(x-1)²