已知函数f(x)=x
3-3ax
2+3x+1
(1)设a=2,求f(x)的单调增区间;
(2)设f(x)在区间(2,3)中至少有一个极值点,求a的取值范围.
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x
3+mx
2+nx.
(1)如果g(x)=f′(x)-2x-3在x=-2处取得最小值-5,求f(x)的解析式;
(2)如果m+n<10(m,n∈N
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已知函数
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.
(1)确定y=f(x)在(0,+∞)上的单调性;
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3在(0,2)上有极值,求a的取值范围.
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已知函数f(x)=lnx-ax+
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-1(a∈R).
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时,讨论f(x)的单调性.
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设
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(1)若f(x)在
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上存在单调递增区间,求a的取值范围.
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,求f(x)在该区间上的最大值.
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已知数列{a
n}和{b
n}满足:a
1=1,a
2=2,a
n>0,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025125752511028301/SYS201310251257525110283009_ST/0.png)
(n∈N*),且{b
n}是以q为公比的等比数列.
(I)证明:a
n+2=a
nq
2;
(II)若c
n=a
2n-1+2a
2n,证明数列{c
n}是等比数列;
(III)求和:
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025125752511028301/SYS201310251257525110283009_ST/1.png)
.
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