作者johnnyzsefb (AJ)
看板trans_math
标题[考古] 清大86
时间Wed Jul 11 12:42:50 2007
II.
2.(14%) If f:R→R satisfies f(x+y)=f(x)f(y) for all x,y belong to R and
f(x)=1+xg(x) where lim g(x)=1.
x→0
Show that f is differentiable,and find f(x).
以上
感谢~XD
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1F：推 axis0801:提示:利用导函数的定义,可证出f'(x)=f(x)125.229.102.179 07/11 17:23
2F：→ axis0801:利用变数分离解f'(x)=f(x)找出f(x)的通式125.229.102.179 07/11 17:27