ax22a的知识精选

设f(x)=xlnx–ax2+(2a–1)x,aR.(Ⅰ)令g(x)=f'(x),求g(x)的单调区间;(Ⅱ)...
问题详情:设f(x)=xlnx–ax2+(2a–1)x,aR.(Ⅰ)令g(x)=f'(x),求g(x)的单调区间;(Ⅱ)已知f(x)在x=1处取得极大值.求实数a的取值范围.【回答】(Ⅰ)当时,函数单调递增区间为,当时,函数单调递增区间为,单调递减区间为;(Ⅱ)【解析】试题分析:(...
设f(x)="xln"x–ax2+(2a–1)x,aR.(Ⅰ)令g(x)=f'(x),求g(x)的单调区间;(...
问题详情:设f(x)="xln"x–ax2+(2a–1)x,aR.(Ⅰ)令g(x)=f'(x),求g(x)的单调区间;(Ⅱ)已知f(x)在x=1处取得极大值.求实数a的取值范围.【回答】试题解析:(Ⅰ)由可得,则,当时,时,,函数单调递增;当时,时,,函数单调递增,时,,函数单调递减.所以当...
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