Introduction to relative and absolute extrema of functions

[@marxregis]

The video is very informative sir. Much obliged! It would be better if some real time examples are integrated in this video, such as the oscillatory motion of a spring - mass system.

[@chrisodden]

Thank you for the comment; I'm glad it was helpful. You are right that concrete examples are always nice, and I try to fit them in whenever possible. In this case, I opted to emphasize conceptual ideas and tried to keep the video from going on much longer than ten minutes. Perhaps I can make a companion video that explores examples.

[@marxregis]

Great sir! Keep making such wonderful videos. It should certainly help the eager young minds!

[@akifcolak5033]

as you mention, some textbooks say that endpoints can be local max or min because of their definiton which give us. Is it wrong? Or is it just a preference? There are really different views about it and Im confused. Thanks ...

[@akifcolak5033]

Especially thomas calculus book emphasize the existence of local extrema for end points. Btw, your explanation and visualizing is very good. Thanks.

[@ltcdrake1985]

Umm.... your endpoint conjecture is absolutely wrong. If end-points are included in the domain of the function and they have a defined value, then they should absolutely be considered for possible global extrema. If an endpoint value is higher (or lower) than all other values, why wouldn't it be a global extrema? Endpoints cannot be relative extrema (by definition), but global extrema may occur at relative extrema and defined end-points. If you do not check defined endpoints for global extrema on any AP Calculus exam or any Calculus entrance exam for any college/university, you will get the problem wrong.