有關ax22a的精選大全

設f(x)=xlnx–ax2+(2a–1)x,aR.(Ⅰ)令g(x)=f'(x),求g(x)的單調區間;(Ⅱ)...
問題詳情:設f(x)=xlnx–ax2+(2a–1)x,aR.(Ⅰ)令g(x)=f'(x),求g(x)的單調區間;(Ⅱ)已知f(x)在x=1處取得極大值.求實數a的取值範圍.【回答】(Ⅰ)當時,函數單調遞增區間為,當時,函數單調遞增區間為,單調遞減區間為;(Ⅱ)【解析】試題分析:(...
設f(x)="xln"x–ax2+(2a–1)x,aR.(Ⅰ)令g(x)=f'(x),求g(x)的單調區間;(...
問題詳情:設f(x)="xln"x–ax2+(2a–1)x,aR.(Ⅰ)令g(x)=f'(x),求g(x)的單調區間;(Ⅱ)已知f(x)在x=1處取得極大值.求實數a的取值範圍.【回答】試題解析:(Ⅰ)由可得,則,當時,時,,函數單調遞增;當時,時,,函數單調遞增,時,,函數單調遞減.所以當...
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