f(x)=x(x-1)(x-2)用导数求单调递减区间

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f(x)=x(x-1)(x-2)用导数求单调递减区间

f(x)=x(x-1)(x-2)用导数求单调递减区间
f(x)=x(x-1)(x-2)用导数求单调递减区间

f(x)=x(x-1)(x-2)用导数求单调递减区间
f(x)=x(x-1)(x-2)
f'(x)=(x-1)(x-2)+x(x-2)+x(x-1)
=3x²-6x+2
令f'(x)<0即3x²-6x+2<0
解得(3-√3)/3∴f(x)单调递减区间为
((3-√3)/3, (3+√3)/3 )

求递减区间,即求f'(x)<0 ,的区间
求递增区间,即求f'(x)>0的区间