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究竟Rolle's Theorem 同 The Mean Value Theorm 既解釋同兩者既分別係咩呀??

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究竟Rolle's Theorem 同 The Mean Value Theorm 既解釋同兩者既分別係咩呀?? 唔該詳細解答呀THX

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• 問CHEM 2001 MC Q.3 AND Q.6
• 要女仔d名(急!!!!!)@1@
• [Amaths] 一條三項式問題@1@

 

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Rolle's Theorem 如果 f(x) 連續 on [a, b], 可微 on (a, b), 而且 f(a) = f(b), 存在 c on (a, b), f`(c) = 0 ------------------------------------------------------------------- Mean Value Theorm 如果 f(x) 連續 on [a, b], 可微 on (a, b), 存在 c on (a, b), f`(c) = [ f(b) - f(a) ] / (b - a) ------------------------------------------------------------------- 其實 Rolle's Theorem 係 Mean Value Theorm 其中一個情況 當 f(a) = f(b), f`(c) = [ f(b) - f(a) ] / (b - a) = [ f(b) - f(b) ] / (b - a) = 0 ------------------------------------------------------------------- 想睇佢地既圖象意思, 可以去下面網頁睇 Mean Value Theorm : http://en.wikipedia.org/wiki/Mean_value_theorem Rolle's Theorem : http://en.wikipedia.org/wiki/Rolle's_theorem

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