![[image]](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABMAAAASCAIAAAA2bnI+AAAAA3NCSVQICAjb4U/gAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAApklEQVQ4jeWTuw2EMBBEZ68WqjAlkFPCXjumE6J1IxaJ6WUuOD5GRoYjvYnWGr39SGMhiUd6PcP+kZyHVkREpB3m8F6KKspMyTs4n0hTNV4Ix2fyDgCuuYLM5v5Imjpv3pVTv8vkLXF0F8D0yK6O6c4iM9cLl3Ifkbfc0OLOMyWvW4+14s0kxCkBANIUiyTU1HR9HAOAMMa+a06SUJFpfjhJCp/+7A98eJqOteuZKQAAAABJRU5ErkJggg== "embedded image (png)"){kind=small}
, wenn ![[image]](data:image/png;base64,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 "embedded image (png)"){kind=small}
bzw. ![[image]](data:image/png;base64,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 "embedded image (png)"){kind=small}
.Eine Funktion hat ein (absolutes) Minimum bzw. Maximum , wenn bzw. .
![[image]](data:image/png;base64,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 "embedded image (png)"){kind=small}
Bei einem beschränkten Wertebereich muss eine stetige Funktion ein absolutes Minimum und ein absolutes Maximum besitzen.
Dies ist relativ, falls dies nur in einer Umgebung um , gilt.
![[image]](data:image/png;base64,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 "embedded image (png)"){kind=small}