∵f'(x)=3x²-12x+9令f'(x)=0,得x=1,或x=3当x0∴函数f(x)=x^3-6x^2+9x在区间(-∞,1)和(3,+∞)上单调递增函数f(x)=x^3-6x^2+9x在区间(1,3)上单调递减函数f(x)=x^3-6x^2+9x+2的单调增区间是(-∞,1...