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Stationary Point

\begin{figure}\begin{center}\BoxedEPSF{StationaryPoint.epsf scaled 700}\end{center}\end{figure}

A point $x_0$ at which the Derivative of a Function $f(x)$ vanishes,

\begin{displaymath}
f'(x_0) = 0.
\end{displaymath}

A stationary point may be a Minimum, Maximum, or Inflection Point.

See also Critical Point, Derivative, Extremum, First Derivative Test, Inflection Point, Maximum, Minimum, Second Derivative Test




© 1996-9 Eric W. Weisstein
1999-05-26