"Derive"在英语中有多个含义，但在这里，它通常指的是"推导"或"衍生"。具体含义取决于上下文，但通常它用于描述从已知或基础事物推导出其他事物的过程。例如，我们可以说"Derive the formula for calculating area from the formula for volume."（从体积公式推导出计算面积的公式）。在其他语境中，"derive"也可以指从经验或观察中得出结论。
1. to derive from：源自
例句：She derived her income from her job.
2. derivative：派生
例句：The stock market is a derivative of the economy.
3. derivative analysis：求导
例句：The derivative analysis of the function is its slope at a certain point.
4. derivative function：导数函数
例句：The derivative function of x^2 is 2x.
5. derivative of a function：函数的导数
例句：The derivative of a function is the slope of its graph at a certain point.
6. derivative of a series：级数的导数
例句：The derivative of a geometric series is the sum of the first terms multiplied by (-1)^(n+1).
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