f'(x)=3x^2+2ax
令f‘(x)=0得x(x+2a/3)=0
当a=0时,f‘(x)恒为正,f(x)在R上单增.
当a>0时,f(x)的单增区间为(-∞,-2a/3)u(0,+∞),f(x)的单减区间为[-2a/3,0]
当a