函数f(x)=x3-4x2+5x+2的单调减区间为______.
求导函数,可得f′(x)=3x2-8x+5=(x-1)(3x-5)
令f′(x)<0可得1<x<5 3
∴函数f(x)=x3-4x2+5x+2的单调减区间为(1,
)5 3
故答案为:(1,
)5 3
函数f(x)=x3-4x2+5x+2的单调减区间为______.
求导函数,可得f′(x)=3x2-8x+5=(x-1)(3x-5)
令f′(x)<0可得1<x<5 3
∴函数f(x)=x3-4x2+5x+2的单调减区间为(1,
)5 3
故答案为:(1,
)5 3