设f(x)=3x-4x³f'(x)=3-12x²=3(1-4x²)=3(1-2x)(1+2x)∵0≤x≤1∴f'(x)＜0时,1-2x＜0,x＞1/2∴易得：f(x)在[0,1/2)上单调递增,（1/2,1]上单调递减所以f(x)max=f(1/2)=3/2-1/2=1明教为您解答,请点击[满...