"導関数" meaning in All languages combined

See 導関数 on Wiktionary

Noun [日本語]

Forms: どうかんすう
  1. ある関数とそれに定義される変数に対して、変数の増分とそれに対応する関数値の増分の商を取り、増分を0に限りなく近づけたときに商の極限値が得られるとき、その極限値を関数値とする関数。f(x) に対してf'(x)= lim _(h→0)(f(x+h)-f(x))/hで定義される新たな関数 f'(x) のこと。
    Sense id: ja-導関数-ja-noun-MnUf3H3T
The following are not (yet) sense-disambiguated
Derived forms: 偏導関数 Related terms: 微分
{
  "categories": [
    {
      "kind": "other",
      "name": "日本語",
      "parents": [],
      "source": "w"
    },
    {
      "kind": "other",
      "name": "日本語_名詞",
      "parents": [],
      "source": "w"
    },
    {
      "kind": "other",
      "name": "日本語_数学",
      "parents": [],
      "source": "w"
    }
  ],
  "derived": [
    {
      "word": "偏導関数"
    }
  ],
  "forms": [
    {
      "form": "どうかんすう"
    }
  ],
  "lang": "日本語",
  "lang_code": "ja",
  "pos": "noun",
  "pos_title": "名詞",
  "related": [
    {
      "word": "微分"
    }
  ],
  "senses": [
    {
      "glosses": [
        "ある関数とそれに定義される変数に対して、変数の増分とそれに対応する関数値の増分の商を取り、増分を0に限りなく近づけたときに商の極限値が得られるとき、その極限値を関数値とする関数。f(x) に対してf'(x)= lim _(h→0)(f(x+h)-f(x))/hで定義される新たな関数 f'(x) のこと。"
      ],
      "id": "ja-導関数-ja-noun-MnUf3H3T"
    }
  ],
  "word": "導関数"
}
{
  "categories": [
    "日本語",
    "日本語_名詞",
    "日本語_数学"
  ],
  "derived": [
    {
      "word": "偏導関数"
    }
  ],
  "forms": [
    {
      "form": "どうかんすう"
    }
  ],
  "lang": "日本語",
  "lang_code": "ja",
  "pos": "noun",
  "pos_title": "名詞",
  "related": [
    {
      "word": "微分"
    }
  ],
  "senses": [
    {
      "glosses": [
        "ある関数とそれに定義される変数に対して、変数の増分とそれに対応する関数値の増分の商を取り、増分を0に限りなく近づけたときに商の極限値が得られるとき、その極限値を関数値とする関数。f(x) に対してf'(x)= lim _(h→0)(f(x+h)-f(x))/hで定義される新たな関数 f'(x) のこと。"
      ]
    }
  ],
  "word": "導関数"
}

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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2025-02-22 from the jawiktionary dump dated 2025-02-21 using wiktextract (9e2b7d3 and f2e72e5). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.