second derivative test

GPTKB entity

Statements (17)
Predicate Object
gptkbp:instanceOf gptkb:mathematics
gptkbp:allows f''(c) < 0, f has a local maximum at c
f''(c) = 0, test is inconclusive
f''(c) > 0, f has a local minimum at c
gptkbp:applies_at critical points
gptkbp:appliesTo functions of one variable
gptkbp:determines local minima
local maxima
points of inflection
https://www.w3.org/2000/01/rdf-schema#label second derivative test
gptkbp:involves second derivative
gptkbp:relatedTo first derivative test
gptkbp:requires function to be twice differentiable
gptkbp:used_in calculus
optimization
gptkbp:bfsParent gptkb:Hessian_matrix
gptkbp:bfsLayer 6