设函数f(x)=13x3-a+12x2+ax.(Ⅰ)函数f(x)在(11,201
题型:解答题
问题:
设函数f(x)=
(Ⅰ)函数f(x)在(11,2012)内单调递减,求a范围; (Ⅱ)若实数a满足1<a≤2,函数g(x)=4x3+3bx2-6(b+2)x(b∈R)的极小值点与f(x)的极小值点相同,求证:g(x)的极大值小于等于10. |
设函数f(x)=
(Ⅰ)函数f(x)在(11,2012)内单调递减,求a范围; (Ⅱ)若实数a满足1<a≤2,函数g(x)=4x3+3bx2-6(b+2)x(b∈R)的极小值点与f(x)的极小值点相同,求证:g(x)的极大值小于等于10. |