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A time derivative is a derivative of a function with respect to time, usually interpreted as the rate of change of the value of the function.〔Chiang, Alpha C., ''Fundamental Methods of Mathematical Economics'', McGraw-Hill, third edition, 1984, ch. 14, 15, 18.〕 The variable denoting time is usually written as . ==Notation== A variety of notations are used to denote the time derivative. In addition to the normal (Leibniz's) notation, : A very common short-hand notation used, especially in physics, is the 'over-dot'. I.E. : (This is called Newton's notation) Higher time derivatives are also used: the second derivative with respect to time is written as : with the corresponding shorthand of . As a generalization, the time derivative of a vector, say: : is defined as the vector whose components are the derivatives of the components of the original vector. That is, : 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「Time derivative」の詳細全文を読む スポンサード リンク
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