Graphing using derivatives | Derivative applications | Differential Calculus | Khan Academy

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Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits.
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Опубликовано:

8 окт 2024

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Комментарии

@riddhimansaikia6237 8 лет назад

Superb video. This made all my doubts of last 4 years clear in just 20 mins. Excellent work.

@IamChandEvil 11 лет назад

Been casually using Khan acedemy on youtube for 4 years. Shocking

@Paradoxl-oh9he 6 лет назад

i got lost at 00:01

@mpokazi 4 года назад

not me. Hes waayy better than the other ones! Edit: nope nevermind I'm confused .

@mahim85 6 лет назад

Spent 20 minutes trying to learn how to graph, ended up drawing balls. Amazing! 😐

@ReelTaino 14 лет назад

Thanks for the vid! I have a test tomorrow and I can honestly say I feel more confident because of your videos. Thank you very much :)

$@refractor61$

@refractor61 2 года назад

You've completed college right?

@tylercompston3204 12 лет назад

I wish i could be as happy as you when i'm doing calculus lol

@AnoNYmous-bz2ef 7 лет назад

Question: Wouldn't it be easier and kinda neater to use a table of signs?

@AnomaBasupran 3 года назад

In that case, we would only get points. We wouldn't know how to join those points - with a straight line or a curve..

@nikhilchotai 11 лет назад

hey u cant believe but I watch your 52 video continually to clear my PhD funda I can say u r amazing I am also lecturer..................

@timjohnson2559 10 лет назад

My calc professor explained how to get inflection points a little differently, so watching this is confusing me just a little. You didn't touch asymptotes or max and min really. :(

@mets15474 9 лет назад

U also could make a sign chart

@SirMaarten314 13 лет назад

If you find this difficult plug the equation in your graphing calculator and this video will make a lot more sense. Thanks so much for these videos Sal!

@HTSN 13 лет назад

I use your videos to help me prep for my calc test. Even though you don't use the same methods I'm used too (I use number lines to find concavity, max/min, etc.) you help me understand the concept better. Thanks.

@limminji1 11 лет назад

why would you fucking dislike this video? Gosh I had no fucking idea about this chapter and you know what? I got a fucking 90 percent. Honestly. 20 minutes of his videos worth more than fucking 3 hours of math paying 32,000 dollars of tuition a damn fucking year

@martinarmstrong4023 6 лет назад

You tell them Korean brother!

@sanaulhaque7748 6 лет назад

Excellent video, I would suggest anybody who is taking calculus to take a look at this.

@jetblack3s 14 лет назад

you are awesome man. i wish you were my teacher. the professor in our school need to learn how to teach like you. keep up the good work, you are saving lives here i don't know if you realize it or not.

@watching4410 Год назад

I remember if u look at coefficients u can get 2/3 by taking the lowest coefficient over the highest coefficient. 3x^4-4x^3+2 => 2/3

@JoshRips 14 лет назад

awesome I learned a little bit of this before but didn't fully grasp it

@Goochimagne 9 лет назад

@greshaanbhatthal3308 8 месяцев назад

In my class we are using some tools too but different from the video, we use the first and second derivative tests to find slope and concave. My question is how to know what type of differentialty is in the graph

@karenliu931 7 лет назад

I wish we can just watch these videos instead of listening to my teacher's lecture in class... It be more effective and better usage of time.

@MashrufKabir 9 лет назад

Saved a life. Thanks, dude.

@norwayte 14 лет назад

Great as always. You factored out twice. - What's your advice/intuition NOT to continue and calculate straight forward... and so only get one of the two critical points? Both for f'(x) (1) and f''(x) (2/3).

@WizardToby 7 лет назад

Nice video. Very helpful... Only it's "Concavity" not "Concativity" XD

@mananlak 6 лет назад

WizardToby ecksdee

@suavetheforgs2441 5 лет назад

yesss i was getting so annoyed

@angere8 2 года назад

I winced every time he said it. But I am grateful for his videos.

@shivangsingh2329 4 года назад

The graetest teacher

@prmchuk 13 лет назад

@MashHanny because we dont know wat happens before and after it. if your working against time, personally i think it would be safe to just assume it to be an inflection point but if u are asked to justify ur answer u have to show the behavior before and after 0.

@red619619 14 лет назад

fist to learn graphing with derivatives.Awesome vid.

@ciarapavlinac5593 6 лет назад

What about going from second derivative to first derivative? Is there a video for that?

@xLovee 14 лет назад

thank you!! i hated math about 20 minutes ago until i saw your video!

@caseyzduniak632 8 лет назад

if you have closed captions on and you hit "b" it changes the color of the text box

@elgrosbig 12 лет назад

you sir are a savior ...

@garyhamilton2104 8 лет назад

Thank you. What's my solution for Calc2 and Calc3, do you guys have vids for those this in depth?

@IanHallisey 12 лет назад

love the vids, only critique is that it's concavity, not concativity.

@MC-pg8mw 10 лет назад

I must say it feels good to be using derivatives non-mechanically.

@xobk 3 года назад

I think something like a mnemonic, a checklist, or a table would be better. That way, you have an organized method to perform every time. If I fill a page of paper with everything scattered like this I will just get lost.

@kpxmofu15 14 лет назад

Do you have a video about graphing the original function when given the first derivative graph?

@ViiKing_ 4 года назад

Thanks, I needed this

@joeverzino 8 лет назад

doing it one graph at a time, x to the 4 is a parabola up at 0. 4x squared is a parabola down because of the minus sign, and the +2 pushes downward graph up. You get a parabola with center section removed by another parabola. To make the 2 curves smooth, find the points where both graphs are equal to smooth out. What can you learn by the function that made this function, the integral 3/5 times x to 5-4/3x to 3 +c.

@marissahosein1273 7 лет назад

at critical point (0,2) when we test the concavity(aka nature) of the point we saw we had a change from positive to negative which means its a maximum point, but Mr. Khan said its a point of inflexion, however a point of inflexion occurs when the sign of f^(x) DOES NOT change when we are testing the concavity(aka nature) of the critical point but the signs changed in the question and he still says its a point of inflexion...can you explain

@icespeckledhens 4 года назад

A very well explained video thanks

@imanadipurnama5425 6 лет назад

Suggestion: draw a chart of the signs or draw the number lines to avoid any confusion. I saw your other videos (about inequality), you also didn't write number lines or chart of signs. It makes some of the students confuse.

@juanlikesmath7813 8 лет назад

Thank you! It helped me understand better!

@andrewalonsi 12 лет назад

you are a GREAT help! we need more teachers like you :)

@San98520 13 лет назад

@kpxmofu15 I dont think its possible to graph function using derivative, for example u were given derivative 2x, it can be derivative to x^2 or x^2+z (where z is a real number), and even though they have the same derivative, they are different functions.

@ricorico33 14 лет назад

very good, very very goo, thanks a lot.

@andrewagita901 4 года назад

thank you for doing this

@aznwilly211 14 лет назад

I think sign charts might make this a bit easier, just an idea =]

@barkthedog 11 лет назад

Really helpful. Thanks.

@vonfred54 12 лет назад

did you upgrade your camera or your drawing software?? Looks way better now :D

@Adrien_BS 6 лет назад

ummmm...why is crtical points be first to find instead of critical values?? cuz on our steps is , Critical values, Critical points, intervals for which the function is increasing and decreasing , the relative maximum and minimum , intervals for which the function is , point of inflection and graph... pls explain

@ainsyaf4791 5 лет назад

THANKS YOU KHAN

@Nikhilkumar-jz8cx 4 года назад

Thanks for this vedio

@Guyflyer12 12 лет назад

no you use the test for concavity, the second derivative test is different.

@valentinacalivano8436 11 лет назад

what's the difference between absolute and local maximums ?

@6ormos1 9 лет назад

hey can u please tell me what do you use to write and graph, i mean is it a program that you use or a hardware accessory that you buy ? btw thanks alot i have a final exam after tomorrow tht was helpful ^.^

@TMJTheKing 9 лет назад

Thanks Khan!

@Darktan2112 9 лет назад

"In 20 minutes I could have plotted 20 points within the interval x = [-2, 2] and had a more accurate graph. WHO NEEDS CALCULUS AM I RITE?" -some stupid person

@derek7566 Год назад

actually tho

@luludz8426 7 лет назад

Thanks

@RBaleog 14 лет назад

Thank you!!!

@ccboy3960 5 лет назад

What if the second derivative doesn't have an x? Like y double prime = 1.4 or something?

@asnsr3573 10 лет назад

Thaaaaaaanks! That's really helpful

@krakens2679 7 лет назад

thank u very much

@sumikshakoirala7674 2 года назад

At x>0 , the function is positive. So can some please explain me this

@MEPS1996 11 лет назад

instead of testing the f''(x) round a potential inflection point, cant you just take the 3rd derivative?

@rod2467 9 лет назад

The algebra is the main part that's messing me up, any tips to improve in it??

@physi492 8 лет назад

+rod2467 try doing problems and applying algebra to everyday occurrences try modeling the world. yep

@jeffwilken7241 7 лет назад

Defrenchable

@Fighterftwful 13 лет назад

wow i thought u have to take the second derv. and solve that to 0 to get ur inflection points..

@alkalait 14 лет назад

I concur!

@rafsun97 10 лет назад

can u show how to graph a calculas please

@bonethatZebra 12 лет назад

yes

@furmankhann 10 лет назад

Is close to,close to infinity NICE

@ardrak8984 Год назад

Video was released when l was in ukg😳😳

@andrestorp 14 лет назад

u draw very nicely on the pc lol i suck at it

@allenhai03 12 лет назад

We'll see who was rightly guided and who was clearly in error on judment day. Can't help you then my friend.

@RyanLawrence1 14 лет назад

what program was used to make this

@shubhampathak260 4 года назад

Sir I am indian I find much difficulty in drawing graph of complex function as a I am preparing for jee advance sir pls help

@579093 12 лет назад

can someone answer me please? we can only determine concave up and down using the second derivative test?

@derek7566 Год назад

yes

@faizahanif9515 5 лет назад

you did everything without explaining inflection point, concavity and also did it really quick......i didnt get it

@thetheoreticalnerd7662 4 года назад

Go look review those topics maybe? I had no problem

@mirai9972 7 лет назад

Can u graph y=(x^2 +1 )/x plz

@lucien5112 5 лет назад

or you could brute force one point at a time and still do it under 20 minutes

@vibz123rulez 12 лет назад

We'll see :)

@TheOneAndOnlyTosin 12 лет назад

Late nights and Khan academy.

@jumbokahuna 12 лет назад

Haha! "Concativity" again. :D

@erikw113 5 лет назад

Why did he use the sign diagram? He made more confusing than it should be

@thunderboltkrish 12 лет назад

Last video:11min is a bit too long..so i will see you next time Makes next video 20min long ....lolzz Sal rocks

@13nevetsw1 9 лет назад

2/3 is less than 1. you put that point on the graph incorrectly.

@LivingchurroBlogspot 8 лет назад

+Steven Haynes its for the X axis

@jannicetolentino3145 8 лет назад

+Steven Haynes Yeah, I thought also but then I notice it is for the x-axis

@furmankhann 10 лет назад

Khan cool us

@rjschofield81 11 лет назад

I'm pretty sure it's "concavity."

@therock343 14 лет назад

I got the worse grade on my test .. Wish i found this earlier

@StevenRamosx13 13 лет назад

@picarolus somethings cant be explained in ten min.s

@ChololateRain123 12 лет назад

Hey, can we just keep quiet, stop opining over something extremely controversial and religious, and just have a math related and/or khanacademy related secular conversation? It would be greatly appreciated.

@Jjhperlas 14 лет назад

Sal, this was an amazing video. However, I found it very difficult to listen through after the 12 minute mark. I was fighting to understand the concepts..and now my brain hurts. (Not because of you but just my lack of attention span)

@سيفابوعلول 2 года назад

how do you now that's the slope =0? and how do you find it

@rahulbanerjee1848 5 лет назад

maza

@r3d0c 12 лет назад

im pretty sure you don't have to explain basic factoring and simple things like that, people who haven't learnt that shouldn't be doing calculus anyways

@youngmoneyicet696 7 месяцев назад

bro sounds like vlad tv

@SALMANKHAN926 8 лет назад

916e

@jmbhalodia12 12 лет назад

TOO MUCH INFO!!!!!! It hard to understand first and second derivatives of a function at one strike. Although, it might be just me. IDK.

@imalwayswatchingu00 12 лет назад

@allenhai03 My god is math and physics :) What is your god?

@KoolioJosh 11 лет назад

my function blew up. lol

@allenhai03 12 лет назад

or to the contrary, with the absolute certainty and rationality of the afterlife, you will face extreme and unbearable regret and despair as you are left with the memories and opportunities you had in this lifetime, while others will rejoice at their choices. Rationale being this:How is it that tyrants can get away with their actions and the oppressed will remain in a state of deprived justice? Full justice will be served and people will get their full recompense (rewarded/punished)

@Thadnill 5 лет назад

Well, most likely it doesn't exist, but, if it does... I do wonder what the soul of an ant looks like.. Or maybe a black widow spider, I mean they kill their mates after sex by nature, they must have wicked souls