Art of Problem Solving

Critical point: Difference between revisions

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A '''critical point''' of a function <math>\displaystyle f(x)</math> is a point <math>\displaystyle (k,f(k))</math> for which <math>\displaystyle f'(k)</math> is not defined, or is equal to zero.
A '''critical point''' of a [[function]] <math>\displaystyle f(x)</math> is a point <math>\displaystyle (k,f(k))</math> for which the [[derivative]] <math>\displaystyle f'(k)</math> is not defined or is equal to [[zero (constant)| zero]].


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===See also===
===See also===
* [[Calculus]]
* [[Calculus]]
* [[Derivative]]
* [[Function]]

Revision as of 20:48, 2 September 2006

A critical point of a function $\displaystyle f(x)$ is a point $\displaystyle (k,f(k))$ for which the derivative $\displaystyle f'(k)$ is not defined or is equal to zero.

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See also