Examples for

Saddle Points

A saddle point is a point on a function that is a stationary point but is not a local extremum. Also called minimax points, saddle points are typically observed on surfaces in three‐dimensional space but also occur in lower or higher dimensions. The first and second derivative tests can often be used to distinguish between saddle points and other types of stationary points, such as local minima and maxima.
Saddle Points

Locate the saddle points of a surface or function.

Locate the saddle points of a function:

saddle points of x^3 - y^3 - 2xy + 6
saddle points x^3+4x^2-x-4y^2-3y-3xy^2

Find the saddle point nearest to a specified point:

saddle point of sin(x y)-tan x near (5,6)
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