Critical points introduction | AP Calculus AB | Khan Academy
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Sal introduces the "critical points" of a function and discusses their relationship with the extremum points of the function. Created by Sal Khan.
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Пікірлер: 101
Why my professor couldn't explain this concept so concisely is a mystery to my, but thank you for creating Khan Academy. It has carried my math education in community college all the way up from pre-algebra to now Calculus 1. #Ioweyoumylife
@ShubhamGhosh-sp8kb
2 жыл бұрын
You are lepd
5:43-6:08 - Critical Point - explanation (what, how to find) where f'(x) = 0 or undefined 6:55-7:29 - How to find Maximum/Minimum Value #theory Not explained how to find critical point
@sasmitamaharana2083
4 жыл бұрын
U r stupid
WOW I love the colors
I was just thought this in my AP calculus class! Great job!
An explanation with exceptional clarity.
I searched all the internet to check that simple question and couldn't find it anywhere. thank you so much
this is beautifull...well explained sir
Shouldn’t f(x0) also be a local maximum?
Very, very, clear and simple to understand
thank you mr. khan!
ur voice makes a lot of difference too great work
this is great thanks sal khan
I'm not gonna lie when this was uploaded , I just had ended my 1st class
In class I feel maxima and minima is sooo bore but now I feel so interesting that u so much for khan academy 😍😍😍😍😍😍😍😃😃😃😃😃😃😃😃😃
2:37 -- "Not lox, that would have to deal with salmon" - I died laughing when he said that lol
@allielee
4 жыл бұрын
salmon khan
Nicely explained
I'm always amazed that there is never a video that explains what I'm stuck on. Everyone recommends your videos, but they never help me.
@shudidesai
7 жыл бұрын
Dude just use Khan Academy videos, they're great.
@vaibhavverma6847
7 жыл бұрын
DacoRoo This means you get stuck in very very basic theings
@thefirst512
6 жыл бұрын
DacoRoo professor Leonard is good for math [101] [101]
@ahmetsezginn
6 жыл бұрын
Vaibhav Verma I believe it is opposite since these are pretty simple
@legoreview8228
6 жыл бұрын
Maybe because you are not destined to be a mathematician....
Very helpful video. :)
nice work
Is it fair to say that if the derivative does not exists at a point, then this critical point can be a local min /local max?
when u learn about salmon in a math video
brilliant
So, can the global max also be considered a local max when there are points on both sides of it on the graph and interval or can it only be considered a global max?
@havetoprove2569
Жыл бұрын
I know it's late but I think a global maxima is automatically a local maxima in its respective domain
nce, thnx
So the theorem that relates local max/min with critical points is not valid for max/ min at the end point? 😕
splendid
Khan academy is best in the world
Hello Khan sir! Sir , why can't we choose the lowest values at the end of the interval??
the global maximum in the graph is also a local maximum
@kumarhemjeet4846
5 жыл бұрын
No !
what does x-naught mean? and when to use it?
All the video made sense, but what is x and y on the vertical and horizontal axes of this graph?
@SaKemp01
10 жыл бұрын
That just means x-axis and y-axis.
@zuesr3277
8 жыл бұрын
+SaKemp01 y = f(x).
What is relative maxima and minima
Can a global minimum or maximum be a local mini/maxi in the meantime?
@vaibhavverma6847
7 жыл бұрын
مصطفى العبيدي nice question bro
Why critical points are not necessarily the minimum or maximum points? Can't I just make them the min. or max. point by choosing an interval such that these points are max and min?
Sal this is one of the most incredible videos of yours!!!
Yes, but the converse is not true.
From the side, that looks like the average free-hand curly-bracket function.
anyone else think of liquid oxygen instead of salmon when he accidentally said "lox"
What is the difference between Global and Local Maxima? Why can't a Global Maxima in the above Function be the Local Maxima.
@joelfeeley8122
5 жыл бұрын
saisriraj p the global maximum is the highest point of the entire function. Every other turning point is referred to as local unless it’s the lowest/highest turning point.
what is derivative
@CODE_CRINGE
8 жыл бұрын
@Steven Yang lol I hope you are joking
@wodhks1026
7 жыл бұрын
Now I'm in Calc 3 in University and I still don't know what derivative is.
@wodhks1026
7 жыл бұрын
Now I'm a Sophomore in College and I don't know what Derivative is And I took Diff Eq and Linear Algebra Still don't know
@melvincooly8
7 жыл бұрын
It's funny seeing you grow over the years lol. I think a google search would help you :)
@user-cd8yi4dk6p
6 жыл бұрын
Lmfao
Is it possible to have 1 crit point?
@NONAME-zf8wz
5 жыл бұрын
Janrose Athena x^2?
Can someone show me how to do this with trig functions?
@TheUnknownGuy_07
8 жыл бұрын
+Cassidy Scaglione trigonometric functions don t have maxima and minima
@Z3kyTw0
7 жыл бұрын
please tell me your joking
Very awesome explanation!!!!!! #maximaandminima #mathsolveszone
Local maximum? Or local minima?
@kaihiwatarigaming
6 жыл бұрын
At 3:06
why is f'(x2)not defined??please explain in detail
@talhamohammed9541
7 жыл бұрын
it's because the tangent cannot be defined at that point as it is not a well defined curve. Hope it helps:)
@deborahfranza2925
7 жыл бұрын
BY definition, tangents do not exist on corners or kinks. The derivative at those kinds of points are considered undefined.
@udaykadam5455
4 жыл бұрын
Function has to be continuously differentiable to find the tangent at each point but as you can see the condition breaks at the corners.
But why the global max cannot be local max ?
@aadityasingh6376
2 жыл бұрын
global max suppose he is the best player of the world(x) and local max be the best player in your colony (y )it can be that you live in the same colony as x and he can be the local and global maxima at the same time .
sir can the background a bit more clear. i think that will be a bit more clear to understand
🤯
I calculate myself just to understand it, but when you plug in f(-4) in f'(x)=2x+4, the result is negative not positive. It should be -4 not 4. At minute (2:22) in the video.
@bellajaid
6 жыл бұрын
In what video? There is no function or numbers here....
Why people call this point "critical" ?
Sal essentially wrote "crihial points" and it bugs me. Haha.
@jibrilmuhammadibrahimalham2389
5 жыл бұрын
No he did write critical points its just that the t and i are overlapping each other ...... Lmao ...
after some time it looks messy and not clear
These videos never help me.
please change your slang its like sleeping video
@alejandrocarrizales1035
7 жыл бұрын
use 1.25 speed its alot better.