# Critical/Saddle point calculator for f(x,y)

A saddle point is a point on a boundary of a set, such that it is not a boundary point.

To put it simply, saddle point is a kind of the intersection of the boundary and the set itself.

In a saddle point, the point is in the set but not on the boundary.

For example, in the picture below, the point X is a saddle point.

It is in the set, but not on the boundary.

Saddle Points are used in the study of calculus.

For example, let’s take a look at the graph below.

It has a global maximum point and a local extreme maxima point at X.

The value of x, where x is equal to -4, is the global maximum point of the function.

In this example, the point X is the saddle point.

It is in the set, but not on the boundary.

Saddle Points are used in the study of differential equations.

For example, let’s take a look at the graph below.

It has a global maximum point and a local extreme maxima point at X.

The value of x, where x is equal to -2, is the global maximum point of the function.

In this example, the point X is the saddle point.

It is in the set, but not on the boundary.

Saddle Points are used in the study of the Fourier transformation.

For example, let’s take a look at the graph below.

It has a global maximum point and a local extreme maxima point at X.

The value of x, where x is equal to -2, is the global maximum point of the function. • Peter says:

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