meili 发表于 2022-10-27 15:38:49

【函数f(x)=x(x-1)(x-2)…(x-50)在点x=0处导数为()A.0B.502C.100D.50!】

<p>问题:【函数f(x)=x(x-1)(x-2)…(x-50)在点x=0处导数为()A.0B.502C.100D.50!】
<p>答案:↓↓↓<p class="nav-title mt10" style="border-top:1px solid #ccc;padding-top: 10px;">汪文津的回答:<div class="content-b">网友采纳  f′(x)=x′[(x-1)(x-2)…(x-50)]+x[(x-1)(x-2)…(x-50)]′  =[(x-1)(x-2)…(x-50)]+x[(x-1)(x-2)…(x-50)]′  ∴f′(0)=(-1)(-2)…(-50)=50!  故选D
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