已知函数f(x)具有任意阶导数,且f′(x)=[f(x)]2,则当n为大于2的正整数时,f(x)的n阶导数f(n)(x)是()A.n![f(x)]n+1B.n[f(x)]n+1C.[f(x)]2nD.n![f(x)]2n
<p>问题:已知函数f(x)具有任意阶导数,且f′(x)=2,则当n为大于2的正整数时,f(x)的n阶导数f(n)(x)是()A.n!n+1B.nn+1C.2nD.n!2n<p>答案:↓↓↓<p class="nav-title mt10" style="border-top:1px solid #ccc;padding-top: 10px;">范懋刚的回答:<div class="content-b">网友采纳 设y=f(x),则可建立微分方程dydx=y
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