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In mathematics, the terms left derivative and right derivative are used to describe certain kinds of derivatives. ==Derivatives arising from one-sided limits== The most common use is to describe the one-sided limit of a function defined on a subset of the real line, (see semi-differentiability). Under this notation, the right derivative is defined as : and the left derivative as : If the left and right derivatives are equal, then they have the same value as the usual ("bidirectional") derivative. One can also define a symmetric derivative, which equals the arithmetic mean of the left and right derivatives (when they both exist), so the symmetric derivative may exist when the usual derivative does not. 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「left and right derivative」の詳細全文を読む スポンサード リンク
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