已知函数f(x)=x3-(a+b)x2+abx,这里0

问题描述:

已知函数f(x)=x3-(a+b)x2+abx,这里0

idon'tknow

g(x)'=3x^2-2(a+b)x+ab
则3x^2-2(a+b)x+ab=0的2根是s,t
因为f(0)'=ab>0
f(a)'=a^2-ab=a(a-b)f(b)'>0

g(x)'=3x^2-2(a+b)x+ab
则3x^2-2(a+b)x+ab=0的2根是s,t
因为f(0)'=ab>0
f(a)'=a^2-ab=a(a-b)f(b)'>0
所以0