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Derivative
01
导数, 衍生物
the rate at which a function changes with respect to its independent variable
Example
Calculating the derivative of a position function yields the velocity function, describing the rate of change of position with respect to time.
The derivative of a revenue function provides the marginal revenue, indicating the additional revenue gained from selling one more unit.
02
派生词, 衍生词
(in linguistics) a word that is developed from another word or base
What is a "derivative"?
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.
Example
The word " happiness " is a derivative of " happy. "
Many English words are derivatives of Latin terms.
03
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
Example
The company used derivatives to minimize the impact of fluctuating raw material costs.
Traders buy and sell derivatives to speculate on the future value of assets.
04
衍生物, 派生物
a substance that is derived or obtained from another substance
Example
The derivative of the plant was used for medicinal purposes.
The chemical derivative showed enhanced properties.
derivative
Example
The novel was criticized for its derivative plot and characters.
Her design was too derivative, echoing popular trends from the past.
02
衍生的, 派生的
(of a product) having a value determined by an underlying asset or variable
Example
Equity-based derivative products change in value as stock prices rise or fall.
The trader specialized in derivative products tied to oil prices.
