# 微分
## Chinese
### Etymology

Coined by Chinese mathematician Li Shanlan as a translation of English differential, literally "small division".

### Pronunciation

* Mandarin
    (Pinyin): wēifēn, wéifēn
    (Zhuyin): ㄨㄟ ㄈㄣ, ㄨㄟˊ ㄈㄣ
* Cantonese (Jyutping): mei$^4$ fan$^1$
* Southern Min (Hokkien, POJ): bî-hun
* Mandarin
** (Standard Chinese, standard in Mainland)
*** Hanyu Pinyin: wēifēn
*** Zhuyin: ㄨㄟ ㄈㄣ
*** Tongyong Pinyin: weifen
*** Wade–Giles: wei$^1$-fên$^1$
*** Yale: wēi-fēn
*** Gwoyeu Romatzyh: ueifen
*** Palladius: вэйфэнь (vɛjfɛnʹ)
*** Sinological IPA : /weɪ̯⁵⁵ fən⁵⁵/
** (Standard Chinese, standard in Taiwan; dated variant in Mainland)
*** Hanyu Pinyin: wéifēn
*** Zhuyin: ㄨㄟˊ ㄈㄣ
*** Tongyong Pinyin: wéifen
*** Wade–Giles: wei$^2$-fên$^1$
*** Yale: wéi-fēn
*** Gwoyeu Romatzyh: weifen
*** Palladius: вэйфэнь (vɛjfɛnʹ)
*** Sinological IPA : /weɪ̯³⁵ fən⁵⁵/
* Cantonese
** (Standard Cantonese, Guangzhou–Hong Kong)
*** Jyutping: mei$^4$ fan$^1$
*** Yale: mèih fān
*** Cantonese Pinyin: mei$^4$ fan$^1$
*** Guangdong Romanization: méi$^4$ fen$^1$
*** Sinological IPA : /mei̯²¹ fɐn⁵⁵/
* Southern Min
** (Hokkien: Quanzhou, General Taiwanese, Xiamen, Zhangzhou)
*** Pe̍h-ōe-jī: bî-hun
*** Tâi-lô: bî-hun
*** Phofsit Daibuun: bi'hwn
*** IPA (Taipei): /bi²⁴⁻¹¹ hun⁴⁴/
*** IPA (Kaohsiung): /bi²³⁻³³ hun⁴⁴/
*** IPA (Quanzhou): /bi²⁴⁻²² hun³³/
*** IPA (Zhangzhou): /bi¹³⁻²² hun⁴⁴/
*** IPA (Xiamen): /bi²⁴⁻²² hun⁴⁴/

### Noun

微分
* (calculus) differential calculus; differentiation
* (calculus) differential

#### Derived terms

* 偏微分 (piānwēifēn)
* 全微分 (quánwēifēn)
* 外微分 (wàiwēifēn)
* 微分學／微分学
* 微分幾何／微分几何 (wēifēn jǐhé)
* 微分形式 (wēifēn xíngshì)
* 微分方程 (wēifēn fāngchéng)

#### See also

* 積分／积分 (jīfēn)
* 微積分／微积分 (wēijīfēn)

## Japanese

Kanji in this term :
| 微 | 分 |
| び Grade: S | ぶん Grade: 2 |
| on'yomi ||

### Pronunciation

* (Tokyo) びぶん [bìbúń] (Heiban – [0])
* IPA: [bʲibɯ̟̃ɴ]

### Noun

微(び)分(ぶん) • (bibun)
* (mathematics) differentiation

#### Antonyms

* 積分(せきぶん) (sekibun): integration

### Verb

微(び)分(ぶん)する • (bibun suru) suru (stem 微(び)分(ぶん)し (bibun shi), past 微(び)分(ぶん)した (bibun shita))
* to differentiate

#### Conjugation

Katsuyōkei ("stem forms") :
| Mizenkei ("imperfective") | 微分し | びぶんし | bibun shi |
| Ren’yōkei ("continuative") | 微分し | びぶんし | bibun shi |
| Shūshikei ("terminal") | 微分する | びぶんする | bibun suru |
| Rentaikei ("attributive") | 微分する | びぶんする | bibun suru |
| Kateikei ("hypothetical") | 微分すれ | びぶんすれ | bibun sure |
| Meireikei ("imperative") | 微分せよ¹ 微分しろ² | びぶんせよ¹ びぶんしろ² | bibun seyo¹ bibun shiro² |
| Key constructions ||||
| Passive | 微分される | びぶんされる | bibun sareru |
| Causative | 微分させる 微分さす | びぶんさせる びぶんさす | bibun saseru bibun sasu |
| Potential | 微分できる | びぶんできる | bibun dekiru |
| Volitional | 微分しよう | びぶんしよう | bibun shiyō |
| Negative | 微分しない | びぶんしない | bibun shinai |
| Negative continuative | 微分せず | びぶんせず | bibun sezu |
| Formal | 微分します | びぶんします | bibun shimasu |
| Perfective | 微分した | びぶんした | bibun shita |
| Conjunctive | 微分して | びぶんして | bibun shite |
| Hypothetical conditional | 微分すれば | びぶんすれば | bibun sureba |
| ¹ Written imperative ² Spoken imperative ||||

### References

* ↑ Matsumura, Akira, editor (2006), 大辞林 [Daijirin] (in Japanese), Third edition, Tokyo: Sanseidō, →ISBN

## Korean

Hanja in this term :
| 微 | 分 |

### Noun

微分 • (mibun) (hangeul 미분)
* hanja form of 미분 (“differential”)

## Vietnamese

chữ Hán Nôm in this term :
| 微 | 分 |

### Noun

微分
* chữ Hán form of vi phân (“differential”).