Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Lagrange's_Mean_Value_Theorem
|
| gptkbp:appliesTo |
continuous functions
differentiable functions |
| gptkbp:category |
mathematical analysis
theorems in calculus |
| gptkbp:field |
gptkb:mathematics
calculus |
| gptkbp:firstPublished |
1797
|
| gptkbp:formedBy |
gptkb:Joseph-Louis_Lagrange
|
| gptkbp:generalizes |
gptkb:Rolle's_Theorem
|
| https://www.w3.org/2000/01/rdf-schema#label |
Mean Value Theorem
|
| gptkbp:plotSummary |
there exists c in (a, b) such that f'(c) = (f(b) - f(a)) / (b - a)
|
| gptkbp:requires |
function continuous on closed interval [a, b]
function differentiable on open interval (a, b) |
| gptkbp:statedIn |
differential calculus
|
| gptkbp:usedIn |
analysis
error analysis estimation of function values proofs of Taylor's theorem |
| gptkbp:bfsParent |
gptkb:MVT
gptkb:MVD |
| gptkbp:bfsLayer |
6
|