“rate of change”的概念、定义、习题解题方法及翻译-数学辞典

单词

rate of change

释义

rate of change

Suppose that the quantity y is a function of the quantity x, so that y = f(x). If f is differentiable, the rate of change of y with respect to x is the derivative dy/dx or f′(x). The rate of change is often with respect to time t. Suppose, now, that x denotes the displacement of a particle, at time t, on a directed line with origin O. Then the velocity is dx/dt or $inline$ , the rate of change of x with respect to t, and the acceleration is d2x/dt2 or $inline$ , the rate of change of the velocity with respect to t.

When the motion is in two or three dimensions, say

denoting the position vector of a particle, the velocity of the particle is the vector

and the acceleration is

随便看

数学辞典收录了4151条数学词条，基本涵盖了常用数学知识及数学英语单词词组的翻译及用法，是数学学习的有利工具。