Re: [微積] 反導函數的問題
※ 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)
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01/26 00:42, , 1F
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01/26 01:42, 2F
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01/26 01:43, , 3F
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01/26 15:41, , 4F
01/26 15:41, 4F
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01/26 15:46, , 5F
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01/26 15:49, , 6F
01/26 15:49, 6F
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