Re: [微積] 反導函數的問題

看板Math作者 (希望願望成真)時間9年前 (2015/01/26 00:39), 編輯推噓1(105)
留言6則, 4人參與, 最新討論串2/2 (看更多)
※ 引述《kero961240 (阿哲)》之銘言: : If f is a continuous function on an interval, : and if a is any number in that interval,then : the function defined on the interval as follows : is antiderivative of f: : x : F(x)=∫ f(t) dt : a : 請問各位神手,這題是要求什麼呢? 只要證明F'(x) = f(x) F'(x) F(x + h) - F(x) = lim ---------------- h→0 h x+h ∫ f(t)dt x = lim --------------- h→0 h = f(x) -- ※ 發信站: 批踢踢實業坊(ptt.cc), 來自: 220.141.66.209 ※ 文章網址: https://www.ptt.cc/bbs/Math/M.1422203991.A.CFB.html

01/26 00:42, , 1F
感謝,我大概懂了
01/26 00:42, 1F

01/26 01:42, , 2F
這樣寫我改的話大概只有一半分數吧,
01/26 01:42, 2F

01/26 01:43, , 3F
還要用積分行均值定理證明最後一個等式成立.
01/26 01:43, 3F

01/26 15:41, , 4F
先要證明 F 是 well-defined…
01/26 15:41, 4F

01/26 15:46, , 5F
f is a continuous function on an interval應該夠?
01/26 15:46, 5F

01/26 15:49, , 6F
還是再差一個常數?
01/26 15:49, 6F
文章代碼(AID): #1KnHnNpx (Math)
文章代碼(AID): #1KnHnNpx (Math)