已知函数f(x)=
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x
3-
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(a+1)x
2+ax,g(x)=f′(x)是函数f(x)的导函数,其中实数a是不等1的常数.
(1)设a>1,讨论函数f(x)在区间[0,a+1]内零点的个数;
(2)求证:当-1<a<1时,g(x)<e
x在[0,+∞)内恒成立.
考点分析:
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已知|
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