Extreme value theorem | Existence theorems | AP Calculus AB | Khan Academy

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The Extreme Value Theorem states that if a function in continuous on a closed interval [a,b], then the function must have a maximum and a minimum on the interval. This makes sense: when a function is continuous you can draw its graph without lifting the pencil, so you must hit a high point and a low point on that interval. Created by Sal Khan.
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Опубликовано:

15 сен 2024

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Комментарии : 50

@dolceprincessax 5 лет назад

Learning this 5 hours before my cal exam thanks

@anmolempire1197 4 года назад

How's. The exam

@dolceprincessax 4 года назад

Anmol Empire LMAOO, the teacher removed my calculator cuz he said it was programmable (I wasn't the only one) although I didn't know so I started crying at the beginning and he ended up giving me his. I also came late because I drove to get a croissant for at the end to get it confiscated. It went good doe and I'm taking linear algebra now

@anmolempire1197 4 года назад

@@dolceprincessax literally I didn't even expected reply after 11 months 😅.. By the way where are u from

@jackmortem4557 4 года назад

Learning this DURING my calc exam...

@jackmortem4557 4 года назад

@@anmolempire1197 perv...

@MrROCKER445 10 лет назад

nice explanation i just randomly clicked on this vid im walking away with an actualy nice understanding.

@mihaililiev5932 5 лет назад

I am taking an intensive and very mathematical course in portfolio optimisation. After five lectures and classes of great confusion, as well as trying to read various calculus and real analysis textbooks (with all that useless math lingo, definitions, theorems and proofs), I watched this and two other Kahn videos and everything suddenly became as clear as bell. Thank you!

@billybobandboshow 10 лет назад

Thank you for taking the time to make videos on Extreme Value Theorem and on Mean Value Theorem. We are just learning how to do these theorems in class. Do you think you could post examples on how to use these theorems in another video? Thanks for all that you do!!!

@DudeKing56 8 лет назад

+Saurabh Wagl This guy is so much better than my actual math prof.

@Yahweh5995 Год назад

Applied Mathematics and Computer Science over here ❤ . So much love ❤️

@sophc193 9 лет назад

this is a really cool concept, and thank you so much for sharing this really good explanation of it!

@TechDetour 6 лет назад

Damn..... You made me understand this within 7 mins. My professor would take much more time to explain this and the best part is that I won't understand a thing. Thanks a lot. Really helped

@conanichigawa 10 лет назад

Wow. Category for this vid is "entertainment". Haha

@AjayPatel-te4kb 5 лет назад

Simply wow.. thanks a lot sir🙏

@Gwjniga 5 месяцев назад

So fantastic

@murtez22 6 лет назад

keep good working, thinks 4 all your wonderful videos 😊

@Djc99120 5 лет назад

Very helpful for beginners👍

@liuxiaogang0206 7 лет назад

Very nice video. What software do you use to create this video tutorial? Thank you.

@mohammadrezanargesi2439 2 года назад

Extreme value theorem refers to estimate the tail distribution, i barely find this video related to the concept. So dudes, if you're looking for EVT, GEV (generalized extreme value), GPD (generalized pareto distribution), POT (Peaks over threshold) etc you're on the wrong page/

@guillem_dlc 6 лет назад

This is Weierstrass's theorem

@Kudravets-Diana 3 года назад

Is this related to the Bolzano Wistras II theorem?

@iCaryLaw 7 лет назад

thanks

@dumbhit4461 Год назад

On point

@ramalingeshwar1418 3 года назад

Awesome

@nazakatabbas148 5 лет назад

v. nice

@sergey_zatsepin 7 лет назад

Sorry, but it's not clear moment - if you draw flat line, how can you define maximum or minimum? It's impossible, because all points are equal in this case and if you take one of these points you can define it both as minimum or maximum. So what's the trick here?

@jacobeastin3438 6 лет назад

the function doesnt have a max or min but the line has a min which is a point, a certain point can be lower or higher than another point on a straight diagonal line

@annamauroam 6 лет назад

that's why the function is between or equal to the maximum or minimum points. Because there can be cases (like the function being a constant - a flat line) where f(x), min, and max coincide. If the function is y=5, then min and max are 5