已知函数f(x)=aInx+2/(x+1)(a∈R).(1)当a=1时,求f(x)在x∈[已知函数f(x)=aInx+2/(x+1)(a∈R).(1)当a=1时,求f(x)在x∈[1,+∞)上的最小值(2)若f(x)存在单调递减区间,求a的取值范围
<p>问题：已知函数f(x)=aInx+2/(x+1)(a∈R).(1)当a=1时,求f(x)在x∈[已知函数f(x)=aInx+2/(x+1)(a∈R).(1)当a=1时,求f(x)在x∈[1,+∞)上的最小值(2)若f(x)存在单调递减区间,求a的取值范围<p>答案：↓↓↓<p class="nav-title mt10" style="border-top:1px solid #ccc;padding-top: 10px;">程文增的回答：<div class="content-b">网友采纳 f(x)=aInx+2÷(x+1)(a∈R)a=1f(x)=Inx+2÷(x+1)(a∈R)f'(x)=1/x+(-2)/(x+1)²f'(x)=1/x-2/(x+1)²1/x-2/(x+1)²＞0单调递增x/x²-2/(x+1)²＞0/x²(x+1)²＞0x+...<p class="nav-title mt10" style="border-top:1px solid #ccc;padding-top: 10px;">程文增的回答：<div class="content-b">网友采纳 f'(x)=a/x+(-2)/(x+1)²f'(x)=a/x-2/(x+1)²a/x-2/(x+1)²<p class="nav-title mt10" style="border-top:1px solid #ccc;padding-top: 10px;">秦继荣的回答：<div class="content-b">网友采纳 谢谢。
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