已知函数f(x)=sinx+cosx,f′(x)是f(x)的导函数.
(1)求函数F(x)=f(x)f′(x)+[f(x)]
2的最大值和最小正周期;
(2)若f(x)=2f'(x),求
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的值.
考点分析:
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![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123337975099622/SYS201310251233379750996010_ST/images0.png)
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