求Y=X2+1/X-1的导数
问题描述：
求Y=X2+1/X-1的导数
答
y=(x²+1)/(x-1)
求导
y'=[(x²+1)'(x-1)-(x²+1)(x-1)']/(x-1)²
=[2x(x-1)-x²-1]/(x-1)²
=(x²-2x-1)/(x-1)²
答
导数为=2X-1/X2
答
y'=2x-1/x²