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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Third derivative ： ウィキペディア英語版 Third derivative In calculus, a branch of mathematics, the third derivative is the rate at which the second derivative, or the rate of change of the rate of change, is changing, used to define aberrancy. The third derivative of a function ''y=f(x)'' can be denoted by :$\backslash frac,\backslash quad\; f(x),\backslash quad\backslash text\backslash frac().$ Other notations can be used, but the above are the most common. ==Mathematical definitions== Let $f(x)=x^4$. Then $f\text{'}(x)=4x^3$, and $f\text{'}\text{'}(x)=12x^2$. Therefore, the third derivative of ''f''(''x'') is, in this case, : $f(x)=24x$ or, using Leibniz notation, : $\backslash frac()=24x$ Now for a more general definition. Let $f(x)$ be any function of ''x''. Then the third derivative of $f(x)$ is given by the following: : $\backslash frac()=\backslash frac()$ The third derivative is the rate at which the second derivative (''f''(x)'') is changing. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Third derivative」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.