derivative

派生した、独創性のない

新しい独自のものではなく、ほかのものをもとに作られた。

やさしい英語で： Taken or developed from something else, rather than being new or original.

• The film feels derivative.
• Her early paintings were derivative of older artists' work.
• Critics called the novel entertaining but highly derivative.

使い方： derivative of something (His style is derivative of earlier crime writers.)

類義語： unoriginal, imitative, derived

反対語： original

よく使う表現： derivative work, derivative style, highly derivative

誘導体、派生物

ほかのものから作られたもの。特に、別の化学物質を変えて作る物質。

やさしい英語で： Something made from another thing, especially a chemical made by changing another chemical.

• This compound is a sugar derivative.
• The laboratory tested three derivatives of the original substance.
• Some oil derivatives are used to make plastics.

使い方： a derivative of something (This medicine contains a derivative of a natural plant chemical.)

類義語： derived product

よく使う表現： a chemical derivative, a derivative of something, an oil derivative

導関数

ある関数が各点でどれほどの速さで変化するかを表す関数。

やさしい英語で： A mathematical function that shows how fast another function changes at each point.

• Find the derivative of this function.
• The derivative describes how quickly the curve rises or falls.
• We calculated first and second derivatives in class.

使い方： the derivative of a function (The derivative of this function is constant.); derivative with respect to a variable (Find the derivative with respect to time.)

類義語： derived function

よく使う表現： first derivative, calculate the derivative, derivative of something

微分係数

ある関数が特定の一点でどれほどの速さで変化するかを表す数。

やさしい英語で： The number showing how fast a mathematical function changes at one particular point.

• The derivative here is positive.
• At the highest point, the derivative equals zero.
• What is the derivative of this function at three?

使い方： the derivative at + point (The derivative at this point is zero.)

類義語： instantaneous rate of change

よく使う表現： derivative at zero, a positive derivative, a negative derivative