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The theorem that for any real-valued function that is differentiable on an interval, there is a point in that interval where the derivative of the curve equals the slope of the straight line between the graphed function values at the interval's end points.
Definition source: English Wiktionary via Wiktextract
Topics: calculus, mathematics, sciences
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
Any of various theorems that saliently concern mean values.
Definition source: English Wiktionary via Wiktextract
Topics: mathematics, sciences
Examples
- 1984 [Nauka, Moscow], Sergey Ermakov, V. V. Nekrutkin (authors and translators), A. S. Sipin (author), Random Processes for Classical Equations of Mathematical Physics, [1984, С. М. Ермаков, В. В. Некруткин, А. С. Сипин, Случайные процессы для решения классических уравнений математической физики], 1989, Kluwer, Softcover Reprint, page xiii, For parabolic equations (Section 5.1) and for the exterior Dirichlet problem (Section 5.2), it is possible to apply the well known mean value theorems.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
No etymology was provided for this word.
Across languages
Translations
17 source translations are retained for this English entry.
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Asturian:
teorema del valor medu
— theorem that for a differentiable function on an interval there is a point in the interval where the derivative equals the overall slope
-
Bulgarian:
теорема за средните стойности
(teorema za srednite stojnosti)
— theorem that for a differentiable function on an interval there is a point in the interval where the derivative equals the overall slope
-
Catalan:
teorema del valor mitjà
— theorem that for a differentiable function on an interval there is a point in the interval where the derivative equals the overall slope
-
Chinese Mandarin:
中值定理
(zhōngzhí dìnglǐ)
— theorem that for a differentiable function on an interval there is a point in the interval where the derivative equals the overall slope
-
Finnish:
differentiaalilaskennan väliarvolause
— theorem that for a differentiable function on an interval there is a point in the interval where the derivative equals the overall slope
-
Finnish:
väliarvolause
— theorem that for a differentiable function on an interval there is a point in the interval where the derivative equals the overall slope
-
French:
théorème des accroissements finis
— theorem that for a differentiable function on an interval there is a point in the interval where the derivative equals the overall slope
-
Galician:
teorema del valor medio
— theorem that for a differentiable function on an interval there is a point in the interval where the derivative equals the overall slope
-
German:
Mittelwertsatz
— theorem that for a differentiable function on an interval there is a point in the interval where the derivative equals the overall slope
-
Hebrew:
משפט הערך הממוצע
(mishpát ha'érech hamemutzá)
— theorem that for a differentiable function on an interval there is a point in the interval where the derivative equals the overall slope
-
Hebrew:
משפט לגראנז׳
(mishpát lagránzh)
— theorem that for a differentiable function on an interval there is a point in the interval where the derivative equals the overall slope
-
Italian:
teorema di Lagrange
— theorem that for a differentiable function on an interval there is a point in the interval where the derivative equals the overall slope
-
Italian:
teorema del valor medio
— theorem that for a differentiable function on an interval there is a point in the interval where the derivative equals the overall slope
-
Italian:
teorema dell'incremento finito
— theorem that for a differentiable function on an interval there is a point in the interval where the derivative equals the overall slope
-
Portuguese:
teorema do valor médio
— theorem that for a differentiable function on an interval there is a point in the interval where the derivative equals the overall slope
-
Spanish:
teorema del valor medio
— theorem that for a differentiable function on an interval there is a point in the interval where the derivative equals the overall slope
-
Tagalog:
hunain ng tamtaming halga
— theorem that for a differentiable function on an interval there is a point in the interval where the derivative equals the overall slope
