Necessary conditions for existence of an extremum of a functional.

A local extremum of a series is either a local maximum or minimum.

A local extremum of a series is either a local maximum or minimum.

A point of local maximum or a local minimum is also called a point of local extremum.

A local extremum of a series is either a local maximum or minimum.

According to an embodiment a local extremum is removed from said tail region.

Necessary conditions for existence of an extremum of a functional.

What is the difference between a local extremum and a global extremum?

If the interval is the entire domain of definition of the function then it is a global extremum, otherwise it is a local extremum.

if has a local extremum at then is a critical point of

If a function has a local extremum, the point at which it occurs must be a critical point.

If f (c) is either a local maximum or a local minimum, then f (c) is called a local extreme value or local extremum.

We list some sufficient and necessary conditions for a (nice) function ff on a smooth manifold to have a local extremum at a point xx.

Necessary conditions for existence of an extremum of a functional.

A local extremum of a series is either a local maximum or minimum.