🇯🇵Japanese Source WordCode: JA

微分可能

Pronunciation / Transliteration: bibun kanō

🇬🇧 Direct English Meaning:
Differentiable/ˌdɪf.əˈrɛn.ʃə.bəl/
adjectiveCEFR C1 (Advanced)Top #1500 frequency
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🇯🇵 Example Sentence in Japanese:

"関数が微分可能であれば、導関数が存在します。"

Comprehensive Definitions & Senses

2 senses
As adjective
  1. 1

    Capable of being differentiated; having a derivative.

    "In calculus, a function is differentiable at a point if it has a defined derivative there."
  2. 2

    Referring to a function that is smooth and continuous, allowing for the application of calculus.

    "The curve is differentiable everywhere in its domain, indicating it has a well-defined slope at every point."

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Antonyms & Contrasting Words (1)

Linguistic Origin & Historical Etymology

The term 'differentiable' originates from the late 19th century, derived from the word 'differentiate', which comes from the Latin 'differentiatus', meaning 'to distinguish'. The prefix 'dif-' indicates separation, while the suffix '-able' denotes capability, thus referring to the ability to distinguish or derive a function's derivative in calculus.

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