Lagrange's mean value theorem
GPTKB entity
Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Mean_value_theorem
|
| gptkbp:appliesTo |
Real-valued functions
|
| gptkbp:category |
gptkb:Mathematical_analysis
|
| gptkbp:field |
gptkb:Calculus
|
| gptkbp:firstPublished |
1797
|
| gptkbp:generalizes |
gptkb:Rolle's_theorem
|
| https://www.w3.org/2000/01/rdf-schema#label |
Lagrange's mean value theorem
|
| gptkbp:namedAfter |
gptkb:Joseph-Louis_Lagrange
|
| gptkbp:prerequisite |
Continuity
Differentiability |
| gptkbp:state |
If a function is continuous on [a, b] and differentiable on (a, b), then there exists c in (a, b) such that f'(c) = (f(b) - f(a)) / (b - a)
|
| gptkbp:usedIn |
Analysis
Estimation of function values Proofs of inequalities |
| gptkbp:bfsParent |
gptkb:Joseph-Louis_Lagrange
gptkb:Joseph_Louis_Lagrange |
| gptkbp:bfsLayer |
5
|