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

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.
Watch the next lesson: www.khanacademy.org/math/ap-calculus-ab/ab-existence-theorems/ab-ivt-evt/v/conditions-for-ivt-and-evt-graph?YT&Desc&APCalculusAB
Missed the previous lesson? www.khanacademy.org/math/ap-calculus-ab/ab-existence-theorems/ab-ivt-evt/v/intermediate-value-theorem?YT&Desc&APCalculusAB
AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago.
About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to Khan AcademyÕs AP Calculus AB channel: kzbin.info/door/yoj0ZF4uw8VTFbmlfOVPuw
Subscribe to Khan Academy: kzbin.info

[@dolceprincessax]

Learning this 5 hours before my cal exam thanks

[@anmolempire1197]

How's. The exam

[@dolceprincessax]

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]

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

[@jackmortem4557]

Learning this DURING my calc exam...

[@jackmortem4557]

@@anmolempire1197 perv...

[@billybobandboshow]

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]

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

[@mihaililiev5932]

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!

[@MrROCKER445]

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

[@sophc193]

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

[@Yahweh5995]

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

[@liuxiaogang0206]

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

[@Gwjniga]

So fantastic

[@TechDetour]

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

[@AjayPatel-te4kb]

Simply wow.. thanks a lot sir🙏

[@Djc99120]

Very helpful for beginners👍

[@Kudravets-Diana]

Is this related to the Bolzano Wistras II theorem?

[@murtez22]

keep good working, thinks 4 all your wonderful videos 😊

[@dumbhit4461]

On point

[@guillem_dlc]

This is Weierstrass's theorem

[@ramalingeshwar1418]

Awesome

[@iCaryLaw]

thanks

[@mohammadrezanargesi2439]

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/

[@sergey_zatsepin]

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]

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]

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

[@dipeshjaisipoudel9543]

What is extreme value distribution then?

[@nikkic.414]

Can you do one one king john?

[@conanichigawa]

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

[@BENJAMINO244]

what program is this ?

[@rahulmalik1083]

Smooth draw .

[@nazakatabbas148]

v. nice

[@Niranjanksb123]

Wow!!!!!!!!!!!!

[@sureshalevoor480]

Is this rolles theorom

[@abbasbookwala]

No..that's different.

[@cupcakesryummyful]

Can you please not repeat everything 62 times when you write it out

[@samghioto2056]

when he repeats it helps you remember what he is saying

[@josephedm794]

That's a stupid comment

[@TechDetour]

I disagree. It really helps when he repeats it over and over again

[@Djc99120]

Over confident

[@MrFear-ck5vd]

Meanwhile me, asking my teacher to repeat everything he writes out 62 times