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单词 implicit differentiation
释义

implicit differentiation

When x and y satisfy a single equation, it may be possible to regard this as defining y as a function of x with a suitable domain (see implicit function theorem). Implicit differentiation involves applying the chain rule to obtain the derivative of y in such cases. For example, if xy2 + x2y3−1=0, then

and so, if 2xy + 3x2 y2 ≠ 0,

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更新时间:2025/4/29 6:09:59