derivative of sth
用于数学微积分语境。
The derivative of the function is 2x.
该函数的导数是2x。
导数；微商；衍生物；派生词；派生物；数学微分的结果；一个量相对于另一个量的瞬时变化；df(x)/dx
A financial product whose value depends on an underlying asset, such as a stock, bond, or commodity.
Something derived.
数学微分的结果；一个量相对于另一个量的瞬时变化；df(x)/dx
the result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dx
A word formed by derivation, such as stylish from style.
从另一化合物获得或视为来源于另一化合物的化合物
a compound obtained from, or regarded as derived from, another compound
A financial instrument whose value depends on the valuation of an underlying asset; such as a warrant, an option etc.
其价值基于另一证券的金融工具
a financial instrument whose value is based on another security
A chemical derived from another.
One of the two fundamental objects of study in calculus (the other being integration), which quantifies the rate of change, tangency, and other qualities arising from the local behavior of a function.
The derivative of x^2 with respect to x is 2x.
x^2 对 x 的导数是 2x。
用法提示：此处“derivative”为数学名词，表示函数的导数。
Investors often use derivatives to hedge against market risks.
投资者经常使用金融衍生品来对冲市场风险。
用法提示：此处“derivatives”为金融名词复数，指基于基础资产的金融工具。
Aspirin is a derivative of salicylic acid.
阿司匹林是水杨酸的衍生物。
用法提示：此处“derivative”为化学名词，表示由另一种化合物衍生得到的物质。
用于数学微积分语境。
The derivative of the function is 2x.
该函数的导数是2x。
用于化学或金融语境。
Cocaine is a derivative of the coca plant.
可卡因是古柯植物的一种衍生物。
金融术语，指价值源于基础资产的工具。
Options and futures are common financial derivatives.
期权和期货是常见的金融衍生品。
在微积分中，'differential'和'derivative'常可互换，但'differential'更侧重线性近似，而'derivative'强调瞬时变化率；在初级教学中可视为同义词。
grammar · medium
易错句子The derivation of this function is 2x.
正确表达The derivative of this function is 2x.
在数学中，'derivative'表示微分的结果，而'derivation'表示推导的过程。中文里两者都可译为'导数'或'推导'，导致混淆。此处应使用'derivative'来指代具体的导函数。
grammar · medium
易错句子He bought derivative in the stock market.
正确表达He bought a derivative in the stock market.
当'derivative'指金融衍生工具时，是可数名词，需要冠词或限定词。中文没有冠词系统，学习者容易遗漏'a'或'the'。
derivative指微分的结果或衍生物，而derivation指推导的动作或来源，是过程而不是结果。
derivative是导数（变化率），而differential是微分（无穷小的变化量），两者在微积分中含义不同。
derivative是名词，而derive是动词；学习者常误将动词当作名词使用，如说'the derive of'。
金融衍生品
The bank invested heavily in financial derivatives.
该银行大量投资于金融衍生品。
衍生品市场
The derivative market has grown rapidly over the past decade.
衍生品市场在过去十年中迅速发展。
衍生工具
Options and futures are common derivative instruments.
期权和期货是常见的衍生工具。
函数的导数
The derivative of a function measures its rate of change.
函数的导数衡量其变化率。
化学衍生物
This compound is a chemical derivative of benzene.
这种化合物是苯的化学衍生物。
前缀 de- (离开/向下) + 词根 riv (溪流) + 后缀 -ative (有…性质的)；同根词：derive, derivation, rivulet；同后缀词：authoritative, qualitative
衍生品的价值通常取决于其对应的标的资产。
一种赋予买方在未来以特定价格买卖标的资产权利的衍生品。
一种约定在未来某一时间以特定价格买卖标的资产的衍生品。
一种交易双方交换现金流或资产的衍生品。
衍生品交易通常以合约形式存在。
衍生品是金融领域的大规模杀伤性武器。
In his famous 2002 shareholder letter, Warren Buffett used the term 'derivatives' to warn about the risks of complex financial instruments.
在他著名的2002年致股东信中，沃伦·巴菲特用“衍生品”一词警告复杂金融工具的风险。
Dictionary facts from ECDICT, WIKTIONARY, WORDNET.