f'(x)=6x^2-12x=6x(x-2)∵0∴6x(x-2)<0∴f'(x)<0∴函数f(x)=2x的3次方-6x的平方+7在(0,2)内是减函数
f(x)=2x^3-6x^2+7f'(x)=6x^2-12x令f(x)=06x^2-12x=0x(x-2)=0x=0 x=2f(x)在(0,2)是单调函数f'(x)在(0,2) f'(x)<0f(x)在(0,2)是单减函数