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单词 left and right derivative
释义

left and right derivative

For the real function f, if

exists, this limit is the left derivative of f at a. Similarly, if

exists, this limit is the right derivative of f at a. (See limit from the left and right.) The derivative f′(a) exists if and only if the left derivative and the right derivative of f at a exist and are equal. An example where the left and right derivatives both exist but are not equal is provided by the function f, where f(x) = |x| for all x. At 0, the left derivative equals−1 and the right derivative equals+1.

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更新时间:2025/4/29 8:09:27