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Critical point (mathematics)

In mathematics, a critical point is the argument of a function where the function derivative is zero (or undefined, as specified below). The value of the function at a critical point is a .mw-parser-output .vanchor>:target~.vanchor-text{background-color:#ebf4ff}@media screen{html.skin-theme-clientpref-night .mw-parser-output…

Applications, Critical point of a single variable function & Several variables

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Critical point of a single variable function

DomainGraphTangentCurveBelow
16 related topics

Several variables

Local maximumLocal minimumSaddle pointEigenvaluesHessian matrix
16 related topics

Critical points of an implicit curve

SketchingTopologyBivariate polynomialEuclidean planeCartesian coordinates
13 related topics

Overview

MathematicsArgument of a functionDerivativeFunctions of a real variableStationary point
19 related topics

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Overview

Critical point of a single variable function

Critical points of an implicit curve

Several variables

Critical point of a differentiable map

Application to topology

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Critical point (mathematics)

Nodes82
Edges81
Triples0
Avg. degree1.98
Density0.02439
Components1

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critical point function displaystyle points differentiable value curve derivative zero tangent matrix pi also implicit graph parallel y-axis case variables

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