Critical Point

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:analyzes First Derivative Test
Second Derivative Test
gptkbp:defines A point on a differentiable function where the derivative is zero or undefined.
gptkbp:example The bottom of a valley (local minimum) on a graph.
The inflection point on a curve.
The top of a hill (local maximum) on a graph.
gptkbp:hasProperty Can be a maximum, minimum, or saddle point.
https://www.w3.org/2000/01/rdf-schema#label Critical Point
gptkbp:inChemistry The temperature and pressure at which the liquid and gas phases of a substance become indistinguishable.
gptkbp:inMathematics A point where the gradient of a function is zero or undefined.
gptkbp:inThermodynamics The end point of a phase equilibrium curve.
gptkbp:relatedTo Local Minimum
Stationary Point
Inflection Point
Local Maximum
gptkbp:usedIn gptkb:Physics
gptkb:Calculus
gptkb:Thermodynamics
Chemistry
Optimization
gptkbp:bfsParent gptkb:S._L._Huang
gptkbp:bfsLayer 5