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Indifferentiable: meaning, definitions and examples

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indifferentiable

[ ˌɪnˌdɪfəˈrɛnʃiəbl ]

Adjective

^{Context #1 | Adjective}

mathematics

Not capable of being differentiated. Refers to a function that is not differentiable at a particular point.

Synonyms

non-differentiable, not differentiable.

Which Synonym Should You Choose?

Word	Description / Examples
indifferentiable	Care should be taken with this term as it is not commonly used. When used, it can have the same meaning as 'indifferentiable' or be a typo. It is critical to ensure context provides clarity. Some older texts may refer to this point as indifferentiable, but modern usage favors other terms.
non-differentiable	Commonly used in mathematical contexts to describe a function or point where differentiation is not possible. The function is non-differentiable at x = 2 due to a discontinuity.
not differentiable	Less formal phrase used to describe points where a function cannot be differentiated. Typically used interchangeably with 'non-differentiable' in conversational or less formal writing. This function is not differentiable at x = 0 because of the sharp corner.

Word

Description / Examples

indifferentiable

Care should be taken with this term as it is not commonly used. When used, it can have the same meaning as 'indifferentiable' or be a typo. It is critical to ensure context provides clarity.

Some older texts may refer to this point as indifferentiable, but modern usage favors other terms.

non-differentiable

Commonly used in mathematical contexts to describe a function or point where differentiation is not possible.

The function is non-differentiable at x = 2 due to a discontinuity.

not differentiable

Less formal phrase used to describe points where a function cannot be differentiated. Typically used interchangeably with 'non-differentiable' in conversational or less formal writing.

This function is not differentiable at x = 0 because of the sharp corner.

Examples of usage

The function f(x) = |x| is indifferentiable at x = 0.
The function f(x) = 1/x is indifferentiable at x = 0.

Translations

Translations of the word "indifferentiable" in other languages:

🇵🇹 não diferenciável

🇮🇳 अभेद्य

🇩🇪 nicht differenzierbar

🇮🇩 tidak dapat dibedakan

🇺🇦 не диференційований

🇵🇱 nierozróżnialny

🇯🇵 区別できない (kubetsu dekinai)

🇫🇷 indifférentiable

🇪🇸 indiferenciable

🇹🇷 ayrıştırılamaz

🇰🇷 구별할 수 없는 (gubyeolhal su eomneun)

🇸🇦 غير قابل للتمييز (ghayr qabil lil-tamyiz)

🇨🇿 nerozlišitelný

🇸🇰 nerozlíšiteľný

🇨🇳 不可区分 (bù kě qū fēn)

🇸🇮 nerazločljiv

🇮🇸 ógreinanlegur

🇰🇿 айырмашылығы жоқ

🇬🇪 განუსხვავებელი (ganuskhvavebeli)

🇦🇿 fərqləndirilməz

🇲🇽 indiferenciable

Etymology

The term 'indifferentiable' is primarily used in the field of mathematics, specifically in calculus and analysis. It describes functions that cannot be differentiated at certain points, leading to discontinuities or sharp changes in the function's behavior. The concept of indifferentiability is crucial in understanding the limitations of differentiability in mathematical functions, providing insights into the behavior of complex functions. The study of indifferentiable functions contributes to the broader understanding of mathematical analysis and the properties of functions in various mathematical contexts.