作者cipherman (雨云無日晴)
看板trans_math
標題Re: [微分] 幫我一下
時間Thu Mar 3 17:28:43 2005
※ 引述《terry1122 (我會一直守候著你)》之銘言：
: 設 g(x)=x*f(x)+1 , g(x+y)=g(x)*g(y) 且 lim f(x) = f(0)
: x->0
: 求 g'(x)=
g'(x) = lim [g(x+h)-g(x)]/h
h->0
= lim [g(x)(g(h)-1)]/h
h->0
= g(x) lim [g(h)-1]/h
h->0
= g(x) lim [(h*f(h)+1)-1]/h
h->0
= g(x) lim f(h)
h->0
= g(x)f(0)
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