y=x^3-x^2-x+5
y'=3x^2-2x-1
y'=0
3x^2-2x-1=0
(3x+1)(x-1)=0
x=-1/3 or 1
y''=6x-2
y''(-1/3) = -2-2 =-4 <0 (max)
y''(1)=6-2=4>0
max y
= y(-1/3)
=(-1/3)^3-(-1/3)^2-(-1/3)+5
= -1/27-1/9+1/3 +5
=(-1-3+9+135)/27
=140/27
min y
=y(1)
=1-1-1+5
=2
单调
递增=(-∞, -1/3] U [1, +∞)
递减=[-1/3, 1]