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Undifferentiable: meaning, definitions and examples

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undifferentiable

 

[ ˌʌnˌdɪfəˈrɛnʃəbəl ]

Adjective
Context #1 | Adjective

mathematics

Not capable of being distinguished or differentiated from something else. In calculus, a function is considered undifferentiable at a certain point if its derivative does not exist at that point.

Synonyms

indifferentiable, indistinguishable, non-differentiable.

Which Synonym Should You Choose?

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Word Description / Examples
undifferentiable

Used in mathematics to describe a function that does not have a derivative. It is a technical term and is not often used in everyday language.

  • This function is undifferentiable at x=0.
  • Researchers are studying undifferentiable points to better understand the behavior of complex functions.
indistinguishable

Used to describe things that cannot be told apart either visually, audibly, or in another sense. Commonly used in everyday language.

  • The twins were indistinguishable from each other.
  • The copies are indistinguishable from the original.
indifferentiable

Rarely used and mostly found in mathematical contexts, similar to 'undifferentiable'. It means not capable of being differentiated.

  • The equation provided was deemed indifferentiable at multiple points.
  • Some mathematical problems are indifferentiable in nature.
non-differentiable

Primarily used in mathematics, often interchangeably with 'undifferentiable'. It describes a function that does not have a derivative at a specific point or interval.

  • The function is non-differentiable at x=2.
  • Non-differentiable functions present a unique challenge in calculus.

Examples of usage

  • The function |x| is undifferentiable at x=0.
  • The concept of undifferentiability plays a key role in the study of continuity and differentiability in mathematics.

Translations

Translations of the word "undifferentiable" in other languages:

🇵🇹 não diferenciável

🇮🇳 अविभाज्य

🇩🇪 nicht differenzierbar

🇮🇩 tidak dapat dibedakan

🇺🇦 не диференційований

🇵🇱 nieróżnicowalny

🇯🇵 区別できない

🇫🇷 non différentiable

🇪🇸 no diferenciable

🇹🇷 ayrıştırılamaz

🇰🇷 구분할 수 없는

🇸🇦 غير قابل للتمييز

🇨🇿 nerozlišitelný

🇸🇰 nerozlíšiteľný

🇨🇳 不可区分

🇸🇮 nediferenciran

🇮🇸 ógreinanlegur

🇰🇿 айырмашылығы жоқ

🇬🇪 გაურჩეველი

🇦🇿 fərqləndirilməz

🇲🇽 no diferenciable

Etymology

The word 'undifferentiable' originates from the prefix 'un-' meaning 'not' and 'differentiable' from the verb 'differentiate', which comes from the Latin word 'differentiatus', past participle of 'differentiare', meaning 'to distinguish'. The term is commonly used in mathematics to describe functions that are not differentiable at certain points.