| 单词 | first derivative |
| 释义 | first derivative The rate at which the value of a function increases as its argument increases at any point, if this is defined. In a graph, the first derivative of a function is its slope. If y = f (x), its first derivative at a point x0 is the limit to which [f (x0 + a) - f(x0)]/a tends as a becomes indefinitely small. The first derivative is written dy/dx or y′ (x). A function y (x) has a stationary value at x0 if dy/dx evaluated at x0 equals zero. A zero first derivative is a necessary but not a sufficient condition for a function to take a maximum or a minimum. |
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