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Discuz Math Forum»Forum › Mathematics › High School › 群友提问：如何证明函数xlnx/ln(x+1)单调递增？
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[函数] 群友提问：如何证明函数xlnx/ln(x+1)单调递增？

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其妙

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其妙 posted 2025-7-10 15:38 |Read mode
群友提问：下面这道题如何证明
求证 $f(x)=\frac{x \ln x}{\ln (x+1)}$ 在 $(0,+\infty)$ 上单调递增．
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