f(x)为非0函数高数f(x+y)=f(x)f(y)当x=0时的导数为1证明f(x)的导数等于f(x）
<p>问题：f(x)为非0函数高数f(x+y)=f(x)f(y)当x=0时的导数为1证明f(x)的导数等于f(x）<p>答案：↓↓↓<p class="nav-title mt10" style="border-top:1px solid #ccc;padding-top: 10px;">孔凡敏的回答：<div class="content-b">网友采纳 f(x+y)=f(x)f(y) putx=y=0 f(0)=f(0)f(0) f(0)=1 f'(x)=lim(y->0){/y} =lim(y->0)/y =f(x)lim(y->0)(f(y)-1)/y =f(x)lim(y->0)(f(0+y)-f(0))/y =f(x)f'(0) =f(x)#
页:
[1]