Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:MVT
|
| gptkbp:appliesTo |
Continuous functions
Differentiable functions |
| gptkbp:category |
gptkb:Mathematical_analysis
Theorems in calculus |
| gptkbp:field |
gptkb:Calculus
|
| gptkbp:firstPublished |
1823
|
| gptkbp:formedBy |
gptkb:Augustin-Louis_Cauchy
|
| gptkbp:generalizes |
gptkb:Cauchy's_mean_value_theorem
|
| https://www.w3.org/2000/01/rdf-schema#label |
Mean value theorem
|
| gptkbp:implies |
gptkb:Taylor's_theorem
gptkb:Intermediate_value_theorem |
| gptkbp:relatedTo |
gptkb:Rolle's_theorem
|
| gptkbp:state |
If f 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 |
gptkb:Physics
Engineering Analysis Mathematical proofs |
| gptkbp:bfsParent |
gptkb:Lagrange's_mean_value_theorem
|
| gptkbp:bfsLayer |
6
|