Fermat's theorem for stationary points

GPTKB entity

Statements (13)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo differentiable functions
real-valued functions
gptkbp:field calculus
https://www.w3.org/2000/01/rdf-schema#label Fermat's theorem for stationary points
gptkbp:namedAfter gptkb:Pierre_de_Fermat
gptkbp:relatedTo extrema
first derivative test
stationary point
gptkbp:state If a function has a local extremum at a point and is differentiable there, then its derivative at that point is zero.
gptkbp:usedIn finding critical points
gptkbp:bfsParent gptkb:Euler–Lagrange_equation
gptkbp:bfsLayer 6