(1)f(x)=x^3-3/2 x^2+1; f `(x)=3x^2-3x; f `(2)=12-6=6; f(2)=8-6+1=3
所以切线方程为:y-3=6(x-2); 即:6x-y-9=0;
(2)f `(x)=3ax^2-3x=3ax(x-1/a);
当00; x∈(0,1/2),f `(x)0; a
(1)f(x)=x^3-3/2 x^2+1; f `(x)=3x^2-3x; f `(2)=12-6=6; f(2)=8-6+1=3
所以切线方程为:y-3=6(x-2); 即:6x-y-9=0;
(2)f `(x)=3ax^2-3x=3ax(x-1/a);
当00; x∈(0,1/2),f `(x)0; a