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复数形式
derivatives
1
导数, 微分
the rate at which a function changes with respect to its independent variable
- Calculating the derivative of a position function yields the velocity function, describing the rate of change of position with respect to time.
计算位置函数的导数可以得到速度函数，描述位置随时间的变化率。
- The derivative of a revenue function provides the marginal revenue, indicating the additional revenue gained from selling one more unit.
收入函数的导数提供了边际收入，表示通过多销售一个单位获得的额外收入。
- Finding the derivative of a distance function results in the instantaneous speed function, representing the speed of an object at a specific moment.
找到距离函数的导数会得到瞬时速度函数，表示物体在特定时刻的速度。
- In economics, the elasticity of a demand function is determined by finding the derivative with respect to price.
在经济学中，需求函数的弹性是通过找到关于价格的导数来确定的。
- The chain rule allows finding the derivative of composite functions, crucial for analyzing complex mathematical expressions.
链式法则允许找到复合函数的导数，对于分析复杂的数学表达式至关重要。
2
派生词, 衍生词
(in linguistics) a word that is developed from another word or base
A derivative is a word formed from an existing word by adding an affix or making changes that result in a new meaning or part of speech. This process often involves the addition of prefixes or suffixes to the base or root word. For example, the noun "happy" can be transformed into the adjective "unhappy" by adding the prefix "un-", or into the noun "happiness" by adding the suffix "-ness". Derivatives expand the vocabulary of a language and allow for the expression of different concepts and grammatical categories, enhancing communication by providing various forms and meanings related to a root word.
- The word "happiness" is a derivative of "happy."
“幸福”这个词是“快乐”的派生词。
- Many English words are derivatives of Latin terms.
许多英语单词是拉丁术语的派生词。
- She studied the derivatives of common prefixes.
她研究了常见前缀的派生词。
- The derivative "childish" changes the meaning of "child."
派生词 "幼稚的" 改变了 "孩子" 的意思。
- Linguists analyze how derivatives evolve over time.
语言学家分析派生词如何随时间演变。
3
衍生品, 衍生工具
a financial contract whose value depends on the price or performance of another asset, such as stocks, bonds, or commodities
- The company used derivatives to minimize the impact of fluctuating raw material costs.
该公司使用衍生品来最小化原材料成本波动的影响。
- Traders buy and sell derivatives to speculate on the future value of assets.
交易者买卖衍生品以投机资产的未来价值。
- A derivative can be a tool for both hedging risk and making a profit.
衍生品可以是对冲风险和获取利润的工具。
- The bank created a derivative based on the performance of global stock markets.
银行根据全球股票市场的表现创建了一个衍生品。
- The complexity of financial derivatives can make them risky for inexperienced investors.
金融衍生品的复杂性可能使它们对缺乏经验的投资者构成风险。
4
衍生物, 派生物质
a substance that is derived or obtained from another substance
- The derivative of the plant was used for medicinal purposes.
植物的衍生物被用于药用目的。
- The chemical derivative showed enhanced properties.
化学衍生物显示出增强的特性。
- This oil is a derivative of a natural substance found in plants.
这种油是一种从植物中发现的天然物质的衍生物。
- The researcher isolated a derivative from the original compound.
研究人员从原始化合物中分离出一种衍生物。
- The pharmaceutical industry often produces derivatives of natural substances for drugs.
制药行业经常生产天然物质的衍生物用于药物。