f(x)=x^3-3x^2-9x-5,试确定f(x)的单调区间,极值,凹向和拐点

问题描述:

f(x)=x^3-3x^2-9x-5,试确定f(x)的单调区间,极值,凹向和拐点

f(x)=x^3-3x^2-9x-5f'(x)=3x^2-6x-9=3(x+2)(x-3)f''(x)=6x-6单调区间:x<-2和x>3时,f'(x)>0,单调增-2<x<3是,f'(x)<0,单调减即:区间(-∞,-2),单调增区间(-2,3),单调减区间(3,+∞),单调增x=-2和x=3时,f'(...