Calculus: Derivatives 1

[imaiden]

thanks

[doody509]

My teacher ordered to add a comment after watching this video and to be honnest I don't have nothing in mind, I mean nothing to say. Farhensa

[dragooner4]

great to understand all this stuff, when u get to a physics class, man u will need to get this. Most *important stuff* are differential equations which are functions of space and time hence, d/dt. Kudos that your 8 and learning this stuff, but when u can solve the wave equation for a H atom using calculus, well now you can declare ur self a prodigy.

[omgiheartpie]

im still in my mom's womb and i understand this. is that good? *looking for attention*

[eleafo]

I'm in 11th grade and just started learning this mannn

[bebeheuy]

I am very happy to see the vidoe after you give this Finding the slope of a tangent line to a curve (the derivative). Introduction to Calculus.

[AntoMelta]

I Really Like The Video From Your Finding the slope of a tangent line to a curve (the derivative). Introduction to Calculus.

[willamricard]

Your Video Is Very Useful Sharing Finding the slope of a tangent line to a curve (the derivative). Introduction to Calculus

[imegatrone]

after i watched this video Finding the slope of a tangent line to a curve (the derivative). Introduction to Calculus., my insight is very open because the video is very good to give information

[AgileSenses]

You know, being younger is actually easier to understand this. Because your little brains are still developing and anything you absorb in the psychological and physical development of your child years plants a firm foundation. So, bragging rights actually go to the older-aged people. Learning this at ages 8-12 is like an adult learning the Pythagorean Theorem.

[buhoman3]

I'm 2 years old and I understand this, freaky right?

[Pr3fixProducts]

I'm 9 and I understand it, is that weird ?

[lcgoodtimes]

Congrats all you 12-year-old/8th grade geniuses! :D Now GTFO -.-

[FranksTube86]

can i borrow your brain for next semester?

[itsjustnicify]

ever so helpful.

[kenzieismyname12]

Is it weird that im 12 and i know all of this??? Oh my god imma nerd...... im so ashamed!

[BlueBat101]

@kenzieismyname12 csb, but it's not weird at all. I'm 12 too..

[j0hnxjxrambo]

Math is so hard that's why I gave up.

[WillieGaldamez]

dis niga knows his shit

[BerryA86]

@WillieGaldamez

lolz



[dkdent13]

im in 8th grade and i could understand this!

very good job at explaining it

[almo611]

youtube.com/watch?v=nI3RcE3lNG­M

[soupdemon]

It is impossible to make it easier than that presentation.

[Elvisistnochamleben]

Khan you're awesome!!!

[izitreal122295]

Im a sophmore in high school and i freakin understand this!!!

[FirstInstruMentalist]

@izitreal122295 im an eighth grader and i understand this ^_^

[EliteLennon117]

I can haz funz in maths

[manfred56789]

Im a student my name is danny and khan academy realy helps me learn.Beacuse in school im having truble learning so i recomend everybody that needs help in school to try khan academy and its free!!

[waqasahmed939]

maths is fun?

[BronzeOrwin]

You are certainly one amazing teacher. Though I am a bit ahead for my age, you have just taught a 16 year old some calculus basics. (:

[Jezebel1115]

You are an amazing EDUCATOR! Thank you!!!!! <3

[hellotoeverone]

do you think i shoud learn this.. iam in year 10 doing higher tier gcses iam bout grade b/a do i need it for college? if i pick maths?

[9Foxstails]

@hellotoeverone yeah you do need to know it. )

[meultimatejohn]

i want to say that u r VERY VERY GOOD.whatever u say,it clicks very quickly.i just want to say that dont get bothered about making mistakes and if possible try more advanced tool,u will get double response.thanks for video and may jesus bless.

[mring001]

Khan Academy videos are great! I don't think I'll ever be as good in my tutorial videos, but it's something to shoot for :)

[TheUntrueFantasy]

i freaking love youtube

[dreamwishlove16]

i find this more useful than actually going to school....

[H0oLIgAnSsRo0lMaRrSz]

ur awesome!

[ShawnBlaque]

My friend just showed me your channel and I have to say you are amazing!! You're going to help me kill my calc midterm tomorrow thanks!!

[MarkSkrams]

do have a video that i can download? coz i only have limited access to the net. i want to learn derivatives so badly for my integral calc. i forgot everything because it was almost two years since i have studied differential calc. please if you have any, inform me. thanks and God bless.

[123donnesha]

i finally understand lol thank you for this video......

[kool2170]

Taking AP calculus as a junior and i get it better this way !!

[gotmash]

i hate calculus

[ElijahHeartsNinjas]

thank you for this.

[platazar]

WHAT IS THE NAME OF THIS SOFTWARE? PLEASE.

[bebefore3]

iphone or ipad app for derivatives:

itunes.apple.com/us/app/point-­differentiation/id474247682?mt­=8

[TheLoveformankind]

watching

[mosow09]

May I just say, I LOVE YOU! this crap was so hard to understand bfor!!

[CiaoBello21]

I was terrified and cried seeing this video. It gives me the goose bumps just by hearing the word Calculus and Derivatives :s

[turtlehater2]

FUCKING BRILLIANT AND MY TEACHER IS GETTING PAID WHAT A JOKE.

[simon1430]

What about gay lines?

[oOdorieOo]

I'd been suffering from derivates for months now and this video turned on the lights in my head in less than 10 minutes, altough my mother language is not English!! I'm crying because of happiness, thank you Mr. Khan!!

[techn0pvd]

please come teach at Rutgers and replace my calculus teacher.. he's as competent to teach as a squished cricket.

[shineforce]

He made calculus like a joke, good job mr. Khan.

[HallieEva]

Good supplement to lectures especially for pre-test review. Thanks :) 

[Alicetalk]

i can now catch up with my AP Calc AB class. Thank You.

[Petelecaster]

Fantastic video!

Though less descriptive than the "New HD series", this video provides that "Eureka" moment, where math all of a sudden becomes fascinating. You're videos are great, but the new HD ones lack that moment.

[leoqaz003]

Find the derivative of x^2 / √1-x^2 ? PLs help I need to know

[xBrodyt3x]

@leoqaz003 Math is rusty, dont take this as accurate but i think it's 2/rootx - 2x

[leoqaz003]

@xBrodyt3x Thanks but i think i got it . My answer is 2x - x^3 / ( 1-x^2 )^3/2 Correct me if i'm wrong.

[nisarahmad297]

I was wondering whether there's any video on derivatives of trigonometric functions from calculus 1 by khan academy? I tried to look for it, but couldn't find it. I would really appreciate it if someone could post the link here. Thank you!

[leoqaz003]

Find the derivative of x^2 / √1-x^2  ?

[MargitHjukse]

@strikemewiththunder yeah, math videos on youtube is soooo helpfull! But, just wondering, do you really have to pay for university where you from?

[SidewindeRinHD]

Power rule is so much easier...

[veeapino808]

why can't you just be my teacher. xD

[realfuzzhead]

i understand derivitives! thank you so much!!

'

[potsticker11]

Quiz tomorrow...this is helping so much!

[MrWCorleone]

YOU ARE THE ANSWER TO ALL MY PROBLEMSSSSSSSSSSSSS IN THE %UCKED UP WORLD OF CAlCULUS!!! many thanks!

[hersheybar11]

I know a lot of ppl say thanks. But i'll say it too: THANKSSS!!

[Josephusofantioch13]

Thank you so much. I couldn't understand anything my teacher was saying when he taught us that, but you really cleared it up for me.

[Josephusofantioch13]

Thank you so much. I couldn't understand anything my teacher was saying when he taught us that, but you really cleared it up for me.

[MrFTW733]

2:52-3:30 - in physics that's known as 'instantaneous'. Right?

[BrownCow323]

Ur better than my math teacher

[XOpTicCyBorgX]

@strikemewiththunder HELL YEAH !!!

[93stormer]

Why do my professors have to make derivatives seem more complicated than they need to be? When Khan explains it, it seems so simple!

[LissIsThis]

IT MAKES SO MUCH SENSE NOW!

[94Dalguy]

@articfox2276 A lot of Calculus is used in many Engineering careers.

[SwinsonTerry]

straight line in redundant. Good video though.

[cml4456]

I'm paying like 30k a year for college and no teacher with a Ph.D comes close to this level of teaching.

[darthmath2]

@cml4456 Really?

I like my professors at my college!

They show us a quick proof and then practical ways to solve our current problem.

[spyros07]

@cml4456 Oh then you are in a really bad college not worth this money!!! :P

[hansikelo]

@cml4456

you should probably watch this....

/watch?v=VpZtX32sKVE

[gomtao]

@cml4456 you must be in a fucking stupid school

[jjaiteng]

thanks, i have studied this for yearsssss and just know wat is derivative... Thanks

[straighter100]

my teachers in my stupid indian school suk at teaching, THIS IS WAYYYYY BETTER!!

[GoooboopTT]

thank you sir for posting this extremely helpful. Really appreciate it :)

[articfox2276]

Please someone tell me why the average person would really need to know these things? other than because you're forced to in school? What practical purpose does it have life? I would really love to know.

[DarkMystic182]

these videos are always soo quiet. he like raises his voice for two seconds and then mumbles



[peachrocker1]

why couldn't he just use a paper and pen? would save a lot of time

[undertakerofevil]

Nice video, very informative. I'll be starting a Calculus based computer course next fall, and I definitely want to get some exposure to it while I can. Just based on this video, it doesn't seem as scary as people will make it out to be.

[rcarrillo7]

Are you black? You have a cool voice. Nice video, too. I'm taking Calculus, soon, so I want to see what I'm getting into (never took it in HS).

[jusgiveitawaynow]

@rcarrillo7 I always wanted a black math teacher. :D

[ServiscoP]

Thats the example how the teachers should teach students and good example for students how not to become calculator .I dont know yr name but one thing I would suggest you to determinate derivative as a momentum speed of the fuction (speed at exact point) because from own experience i know how confusing the word "derivative" is.

[OpenTheTrollGate]

@strikemewiththunder to get your competence recognized lol

[Npowell01]

Dude.

I used to play this flash game called Line Rider when I was a kid, and I would basically make curves as series of lines with definite slopes, because that was the only practical way of doing it.

I was basically doing this intuitively as a child, but my school system rendered me uninterested with math by the time I was twelve, and my eyes were never opened to things like this again until recently. It's great!

[johng904]

That is by far the best explanations on the derivative found on YouTube!

By the way, have you heard of the new type of (discrete) derivativative from 2010? You should try and search it on YouTube: "Eureka! a new approach to calculus". This video depicts a simple kind of derivative.

[crowman131]

My maths teachers are useles......Your just amazing

[LyriiczBoii]

@crowman131 Apparently your english teachers aren't very good either.

[crowman131]

@LyriiczBoii

Just a simple mistake.



[SenselessTalk]

I ve got suggestions, first please speak louder, second, can you please dont use a cursor as ur pen's cursor, it baffles me for unknown reason, and third, please always be kind and do your goals, i love you man, thx

[MeAsOmnipotent]

Khan! Please answer X raised to square root of x

[youspinmerightrounds]

Perfect introduction! I've tried to do something similiar on my channel too! might be worth checking out!

[vertexgo]

i stopped to go to university and do fulltime autodidact studies with the web as being my main source of information. way more open and way more flexible.

[vertexgo]

@strikemewiththunder: you might also check out the ocw lectures like walter lewin's physics lectures...and many more. also: you can pause a lecture, "rewind" as many times as you want. now only a more interactive way has to be established where one views about 5 minutes of a lecture and then does some examples right away. then again 5 minutes and after this some examples - maybe in addition with wolframalpha and the wolframsimulations.

[odinmp5]

wish i had this in highschool... my teacher was so mena i could not even ask questions... this is just so good, you just move the cursor a thousand times till you get it..

[MrAthos3]

The Aristotle of our time. Such an amazing teacher.

[Darkrunner1975]

God I hope he went into teaching. He explains it in a way that I got.

[StefanPetrucci]

Great videos man, you sound like Mike Portnoy :D

[phelepone]

@StefanPetrucci aaaahaha the cept instead of drum god math god :D

[xKMHxI2EAP3Rx]

Where were you when I was in high school?

[joshuavalencia1]

Saw him on the Colbert Report

[PmSolier]

Awesome

[MondoMiniman]

for those who want other places to learn math, try brightstorm (dot) com, Its really good and teaches you alot as well.

[RunLiberty]

The Teaching Company also has some excellent classes

but not for free but pretty cheap

Ron Paul 2012

[HELLOW1969]

its about time something like this was available to all. Well done dude.

[kwdonkor]

i am not holding a pen nor paper but...well...i don't need them anyway...I understood clearly...Thanks you!!!!!!!!!!!!

[jenderwiggin]

@strikemewiththunder um this is basic high school stuff...if you are in college and are just learning this well you failed to achive in HS

[spyrolatro]

Respond to this video... That's quite unbelievable, I'm just in KS3 and i understand trigonometry and calculus

[spyrolatro]

Respond to this video... That's quite unbelievable, I'm just in KS3

[buzzy918]

@austinjb555 whenever you actually work everything out and distribute, the h's on top cancel with the ones on bottom. If not, then there is no derivative. So, you will never find yourself dividing by zero for h.

[aye1980]

thank you



[LizziesAnswers]

YOUU are SOOO MUCH BETTER at explaining this then my teacher!!

[extartus]

when I first learned this, I actually started to look at math in a different way

[SpartanGJ23]

khanacademy > tutoring

[austinjb555]

but as h approaches 0, wouldn't it be infinity because you're dividing by 0?

[ShinnSin]

@austinjb555 When you divide by zero it becomes undefined. o_o

[xagerated]

@ShinnSin you have yet to come across calculus, everything changes =)

[ShinnSin]

@xagerated :( HELP ME IN MATH

[333mtndew]

This is amazing... I'm in middle school and I understand this

[scuzzulus]

@333mtndew oh yeah? well i'm only 5 months old and i understand it!

[sokkerking12345]

y=x^2; Slope is x. =D

Proof: (ish)

When y = ax, the slope is a

So when y = xx (or x^2) the slope is x, as it has taken he place of a.

[euch27]

Thanks! Your videos are spectacular. I'm trying to decide whether or not I should take AP Calculus AB or AP Calculus BC my senior year. I'm into music and I'm taking other AP classes, Sinfonia on Saturdays and Church on Sundays. I'm really indecisive about my schedule, but either way (AB or BC), I will refer to your videos a lot!

Merci!

[KK5LU]

Your presentation was the simplest, and thus the best, of all the internet discussions of what is a limit, why is it important, and how it can be more easily grasped by visual means.

[ownage999912]

I thought Calculus was hard..

[steveorama1978]

none of this shit, will EVER make sense to my retarded ass, EVER.

[falseexpectations]

I kinda wanna cry at how easy this guy made something I was really struggling with. Seriously, I love you. Thank you so so much.

[Victorisbored]

dude this helped me out so much! thanks now it makes more sense

[XxePicMidnight14Xx]

Try to get a better Quality o i dont know like 720p

[mohammad9993]

best teacher EVER

[enlargemedia]

I like the medium that you're presenting calculus its a bit more visual and engaging. What program are you using?

[PlasmaPrestige]

I'm not in calculus yet, but seeing as I understand the concept of a limit and remember the basic slope formula, finding derivatives for basic functions looks fairly easy. Good explanation = good results.

[jgronbech]

Very helpful. I wish my TA was this clear 20 years ago...

[nickhansbauer]

This, was eye opening! I don't think this video would really help someone who has had NO experience in calculus whatsoever, but for anyone getting started, this is genius! thumbed it up:D

[jeffdadude87]

If I can get better at Calculus in the next 10 years, I intend to visit several 1st grade classes and give them 45-minute lectures on Calculus, that is if the teachers will tell me it's okay to do.

[YGY818]

Great going man, explained just as good, if not better than my professor < 3

[127miles]

BEAUTIFUL :')

[iluvchocolatemore]

My mind is blown.

[duesexmachina01]

WE NEED THIS FOR NURSING EDUCATION

IT IS BETTER BECAUSE IT IS NOT TOO FORMAL OR PACKAGED.

[AdolfHitlerVEVO]

I'm impressed..... that you can wright so well with a mouse.

[moralesef]

@AdolfHitlerVEVO He is using a pen-pad ass. xD

[psychonautpsychosis]

"Still pretty messy but I think you'll get the point" PUN INTENDED?

[goodbye2night1]

This was much more confusing than sitting in my calc classes.

[ornamentalyouth]

thanks for your videos. they cut to the chase more than the heralded MIT lecture videos.

[eabod]

It is not true that one can "take...most continuous curves and find the slope". In fact, MOST (in the sense of Baire category) continuous curves aren't differentiable anywhere.

[anticorncob6]

We found the slope of the tangent. What about the y-intercept? I think it's this:

y-intercept of f(x) at x = A.

y-intercept = A(f'(A) - 1)

I'm not sure though. Someone please reply if I'm wrong

[valdivia562]

i was shitting bricks when i found out that the ap test is in like 2 months cause this whole time ive been in ap calculus since like september we havent learned anything but then a friend told me about this and there is hope that i can now pass

[ry7ky]

@khanacademy

I think I speak for most people here when I say thank you so much.

[shinigamixheartless]

im in alg 2 now, but just watching this makes me feel intimidated in taking pre cal lol

[nooremuhammad]

Mashallah he is really a genius.........really nice.........

[yyushi]

Gosh Thank You!! ur explanation is so easy to understand!! I wish u were my calc professor!

[kk456128]

not really a vid to watch when im in algebra 1 huh? lmfao

[TroChr]

Thank you! Finally it makes sense.

[nbuse32]

I Love You.

[mindyvanho88]

OMG THANK YOU! I came back to calc 2 after only taking calc BC in high school...after 4 years of no math! I needed this review session badly!

[potific0505]

just be thankful that some people made effort to make a simple tutorial vid like this... why would you think you'd watch this if you know it that much.?

[michaelmelnychuk]

The lessons are really good, but why don't you use a higher resolution drawing program?

[TheWhyness]

what books have you guys been reading that didn't help you understand these concepts?

[cjz1985]

This video rocks. The way I am being taught Math and Calculus is I'm given the formulas and am being told it is what it is. This video, and all the rest of them, 1) put them in easy to understand terms and, 2) actually show how he came up with the answer. That is of more value, learning how to get to the equation then just seeing it and going with it.