Phrase guide

directional derivative

noun · 1 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

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1

noun

Meaning 1

A function which measures the rate of change of some other function at any point in a particular direction; formally, the directional derivative of a scalar function f( mathbf x)=f(x_1,x_2,...,x_n) along a vector mathbf v=(v_1,...,v_n) is the function ∇_(mathbf v)f defined by the limit ∇_(mathbf v)f( mathbf x)= lim _(h→0)(f( mathbf x+h mathbf v)-f( mathbf x))/h.

Definition source: English Wiktionary via Wiktextract

Topics: calculus, mathematics, sciences

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Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

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Across languages

Translations

6 source translations are retained for this English entry.

  • Bulgarian: производна по направление (proizvodna po napravlenie) — Translations
  • French: dérivée directionnelle — Translations
  • Italian: derivata direzionale — Translations
  • Polish: pochodna kierunkowa — Translations
  • Portuguese: derivada direcional — Translations
  • Spanish: derivada direccional — Translations