Volume under surface

Saddle point on the surface z= 10-\frac{x^2-y^2}{8}.

A saddle point is a point at which the partial derivatives of a function are zero (or the tangent plane has a slope of zero) but is not an extremum. Saddle points exist anywhere the determinant of the Hessian matrix is negative (see extreme value#Multivariable functions for more information).

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