y=ax+x2-Inx 求其单调性y=ax+x²-Inx y=In(x+1)+Px 求其单调性

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y=ax+x2-Inx求其单调性y=ax+x²-Inxy=In(x+1)+Px求其单调性y=ax+x2-Inx求其单调性y=ax+x²-Inxy=In(x+1)+Px求其单调性y=

y=ax+x2-Inx 求其单调性y=ax+x²-Inx y=In(x+1)+Px 求其单调性
y=ax+x2-Inx 求其单调性
y=ax+x²-Inx y=In(x+1)+Px 求其单调性

y=ax+x2-Inx 求其单调性y=ax+x²-Inx y=In(x+1)+Px 求其单调性
1、y=ax+x²-Inx
y'=a+2x-1/x
当0<x<[(√(a²+8)-a]/4时 y'<0 y单调递减
当x>[(√(a²+8)-a]/4时 y'>0 y单调递增
2、y=In(x+1)+px
y'=1/(x+1)+p
若p=0则
当x>-1时y'>0 y单调递增
若p>0则
当x>-1时y'>0 y单调递增
若p<0则
当-1<x<-1/p-1时 y'<0 y单调递减
当x>-1/p-1时y'>0 y单调递增

y=ax+x²-Inx 单调递增
y=In(x+1)+Px 单调递减