Russian Translation(s) & Details for 'Derivative'

English Word: derivative

Key Russian Translations:

• производный [prɐɪzˈvodnɨj] - [Formal, Adjective]
• производная [prɐɪzˈvodnəjə] - [Formal, Noun, Mathematics]

Frequency: Medium

Difficulty: B2 (Intermediate) for "производный"; C1 (Advanced) for "производная" in mathematical contexts

Pronunciation (Russian):

производный: [prɐɪzˈvodnɨj]

Note on производный: Stress falls on the second syllable. The "ы" sound is a unique Russian vowel, often challenging for English speakers.

производная: [prɐɪzˈvodnəjə]

Note on производная: Stress on the second syllable. The final "я" is pronounced as "ya."

Audio: []

Meanings and Usage:

1. Derived or Secondary (General Context)

Translation(s) & Context:

• производный - Used as an adjective to describe something derived from another source, often in academic or technical contexts.

Usage Examples:

• Этот термин является производным от латинского слова.

  This term is a derivative of a Latin word.

• Производные понятия часто используются в философии.

  Derivative concepts are often used in philosophy.

• Его идеи производны и лишены оригинальности.

  His ideas are derivative and lack originality.

2. Mathematical Derivative (Calculus)

Translation(s) & Context:

• производная - Refers specifically to the mathematical concept of a derivative in calculus.

Usage Examples:

• Найдите производную этой функции.

  Find the derivative of this function.

• Производная в этой точке равна нулю.

  The derivative at this point equals zero.

• Мы изучаем производные на уроках математики.

  We are studying derivatives in math class.

Russian Forms/Inflections:

производный (Adjective): Declines according to Russian adjective rules based on gender, number, and case.

производная (Noun): Feminine noun, declines as a regular 1st declension noun.

Russian Synonyms/Antonyms:

Synonyms for производный:

• вторичный
• зависимый

Note: "вторичный" emphasizes something secondary, while "зависимый" implies dependence on something else.

Antonyms for производный:

• первичный
• оригинальный

Related Phrases:

• производное слово - A derivative word (linguistics).
• производная функция - Derivative function (mathematics).
• производный характер - Derivative nature (general context).

Usage Notes:

• "производный" is primarily an adjective and is used in broader contexts to describe something derived or secondary, such as in linguistics or general discussions.
• "производная" is a noun and is almost exclusively used in mathematics to refer to the concept of a derivative. It should not be used interchangeably with "производный."
• Be mindful of the context when choosing between these translations, as using "производная" outside of mathematical contexts will sound incorrect.

Common Errors:

• Error: Using "производная" as an adjective. Incorrect: "Это производная идея." Correct: "Это производная идея."
• Explanation: "производная" is a noun and cannot function as an adjective. Use "производный" for adjectival forms.
• Error: Misplacing stress in pronunciation (e.g., stressing the first syllable of "производный").
• Explanation: Stress in Russian is crucial for correct pronunciation. Always stress the second syllable in both "производный" and "производная."

Cultural Notes:

In Russian academic and technical contexts, the concept of "derivative" (both as "производный" and "производная") is highly prevalent due to Russia's strong tradition in mathematics and sciences. The term "производная" is especially significant in educational settings, as calculus is a core subject in Russian high schools and universities.

Related Concepts:

• интеграл (integral)
• функция (function)
• основа (base/root, in linguistics)