试题与答案

已知函数f(x)=alnx-ax-3(a∈R),函数f(x)的图象在x=4处的切

题型:解答题

题目:

已知函数f(x)=alnx-ax-3(a∈R),函数f(x)的图象在x=4处的切线的斜率为
3
2

(1)求a值及函数f(x)的单调区间;
(2)若函数g(x)=
1
3
x3+x2[f′(x)+
m
2
]
在区间(1,3)上不是单调函数(其中f′(x)是f(x)的导函数),求实数m的取值范围.

答案:

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