推 JimCroce:THX^^太感謝你了 219.91.104.243 07/26
※ 引述《JimCroce (我要下五子棋 N )》之銘言：
: f(h)
: Consider lim ---- = 1 f(x+y)=f(x)+f(y)+(x^2y)+(xy^2)
: h->0 h
: 任意x,y 屬於實數 , find f`(x) by definition
: p.s(f`(x)是對f(x)一次微分 ,抱歉打的很亂)
f(x+h) - f(x)
f`(x) = lim --------------
h->0 h
f(x)+f(h)+(x^2h)+(xh^2) - f(x)
= lim --------------------------------
h->0 h
f(h)+(x^2h)+(xh^2)
= lim --------------------------------
h->0 h
f(h)
= lim [ ---- + x^2 + xh ]
h->0 h
= 1 + x^2
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