Weekly Questions Megathread - January 08, 2018

Critical point (mathematics)

In mathematics, a critical point or stationary point of a differentiable function of a real or complex variable is any value in its domain where its derivative is 0. Some authors include in the critical points the limit points where the function may be prolongated by continuity and where the derivative is not defined. For a differentiable function of several real variables, a critical point is a value in its domain where all partial derivatives are zero. The value of the function at a critical point is a critical value.


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