Lec 5 | MIT 18.01 Single Variable Calculus, Fall 2007

[AntoMelta]

Good, I like that you share this video Implicit differentiation, inverses, I wish success always

[willamricard]

Nice Video Implicit differentiation, inverses That You Share , So Very Nice Thanks You

[imegatrone]

I Really Like The Video Implicit differentiation inverses From Your

[bundawartini]

Your Video Implicit differentiation, inverses Is Very Useful Sharing

[stavrospod]

it's funny but great job by the teacher because these stuff we are doing them at the 3grade of lyceum in greece but they are not explaining them in so much details. This is awesome work. Thanks for sharing the knowlenge.

[78945612336266]

this inrespectatable students no care for maths lecture coming late at mit you know i just said wat i want to said

[prantare]

This teacher is so amazing.. thank you!

[girianshiido]

LOL at 38:55 MIT really ?

[HarryHumpo]

People, this is the fifth lecture of an introductory course to calculus, right after the freshmen are coming out of high school. It's no surprising that the teacher lays a good foundation before moving on to more complicated things, it's a sort of equalizer for the students. To say you did this in high school doesn't prove that MIT classes are bogus, that's just a dumb statement to make.

[Mark6770]

Sir I would like you check my video in math... about "Bernoulli numbers, Solution to solve areas under any polynomial step function..

[poyanator]

Wait, the people at this university already know this stuff right?!

because I am learning this in high-school... they can't just be going through it in university at MIT!?!??

[LostInside1458]

@poyanator no. High School Calculus is nothing compared to a good freshman engineering calculus class. I assure you of this.

[Arstim]

@poyanator

USA education is shit. I live in Europe, studying Economics, and I had this in far more superior level. Proves again that even so-called higher level universities still are shit :) Imagine a public university in USA, equal to primary school in Europe I presume :D

[kennyxlw]

@Arstim lol econ

[treeandplant]

@poyanator you learnt this in high school right?you need to shut up and continue with your further education if you are interested.

[poyanator]

@treeandplant your comment confuses me 0_o

[Stephane4JC]

@treeandplant it's not @poyanator but @Arstim who seems to not have learnt anything from his "co-called" economics studies...his comment proves his whole education is shit lol

[treeandplant]

@Stephane4JC What goes to @Arstim goes to @poyanator and everyone who's watching this lecture.There's plenty of tougher courses on the nternet if this doesnt suit.

[Rfish117]

41:43

"Excercise" - Yes... I believe that is the correct spelling. :/

[kjkunaljindal24]

arctanx graph is wrong, it never intersects tanx

[VFB1210]

@porta123stella tan^(-1)(x) is a very common notation for arctan(x), I see it used all the time. Ever seen a Texas Instruments graphing calculator?

[sombra678]

Just the best.... MIT I lov it

[sombra678]

Just the best.... MIT lov it

[quagmire444]

i still get confused with derivative notations sometimes. when he differentiated x^2+y^2=1 why did the differentiated form of y have y' on it?? i see that happen when we differentiate y but why do i have y' included and not just 2y.

[megaelliott]

Why are people still using chalk on blackboards?

[fyckthissht]

it's so weird how some of these MIT students look like normal people. some of the girls are actually hot! i must say i'm shocked, given the stereotype associated with MIT...

[someonep93]

@fyckthissht Well, these are the non-science majors... ;)

[fuckooo]

@someonep93 How do you know?

[someonep93]

@fuckooo I read it in the comments of another one of these videos. I don't remember the exact comment though.

[fuckooo]

@someonep93 Well the people who came into the lecture late said they were from physics....

[someonep93]

@fuckooo I don't know for sure, I relied on the comment I read back then. All this fuss about me trying to make a joke... :P

[smilerLFC]

hmm whats going on here

[10001011011]

@junior1984able yeah thats correct, except that you miised an x

[dynamicblast]

"You'll see why we win with this" (Y)

[Jbear962]

Is this Calc A?

[yoyaya007]

i like how clear his answers are !!!

[junior1984able]

calculus is hard

[junior1984able]

the derivative of 30x^3 + 12x^4 +15+ 1 is 90x^2+48^3=0 right???

[pithikoulis]

@junior1984able why did you make the function into an equation??

[chantorn]

นั่งกันเงียบมากเลยอ่ะ

[LFZ15]

lawls even on a lecture about implicit differentiation YouTube can't avoid moronic arguments, humanity <3

[gorgolyt]

this green guy is THE HULK

technically though it shouldn't intersect tanx

[gorgolyt]

@HyperBorealOperator how has this happened in the comments for a maths lecture?

[vetrose3]

you make understanding so much easier!!!

[turkeyburgerfries]

can someone explain exactly what is going on at 22:45. what formula is he using to take that derivative? i thought i understood the chain rule but now i'm not so sure. thanks!

[turkeyburgerfries]

to be clear: i understand the product rule and 'ax^a-1', but i'm confused about where the primes are coming from.

[zederish]

@turkeyburgerfries same problem with me

[junior1984able]

@turkeyburgerfries me too

[reik2006]

@turkeyburgerfries you probably solved it yourself by now, but in case you didn't:

y' is the derivative of the inner function of y with respect to x. So its d/dx (y^2) = (d/dy y^2) * dy/dx which is the same as 2yy' with y'=dy/dx.

[junior1984able]

@reik2006 what????

[josecitomadera]

Ad hominems make your argument weaker. You seem to think the past did not affect their present. The past affects their present. As a group, they are disadvantaged. It was group policy from the gov't to treat them like cattle. Now the gov't believes otherwise. Fortunately, your point of view is not held by gov't. Identity groups may not be important to you but it is to gov't. That's why there are social programs in place since the Great Depression. Believe what you want. Many like me feel they

[humper3000]

Are all professors at MIT this good...

[amrosik]

not all.

[Sunnyman2012]

I used to think that MIT students were kind of special, so amazingly smart! But I realize that they are just the same any other students at other Universities! Oops...

[MrSomeonenotspecial]

@Sunnyman2012 The thing is they have genious instead of professors. That's the big difference.

[LogicalFlawDetector]

@Sunnyman2012

They are. These students are from the lower 10% of MIT. Which is why they are taking calculus in college.

[Sunnyman2012]

For n different of zero! Since m/n!

[primetime0104]

Sorry to say how small your brain is TBArKER, you check the MIT lectures only to check how many blacks are in there? That is incredibly unreal.

[nachoviko]

can anybody link me to some MIT lectures on Taylor series. Thanks in advance.

[Allexa1000]

Yes please i need it too!!!

[joshuaissac]

Thanks! Hopefully this will help me with my A-level exam tomorrow.

[panda20091]

Thank you for providing these wonderful lectures. This professor is the best i have ever seen.

[iridethewave]

Wow, this is quite illuminating. All this time I had assumed that implicit differentiation worked because of a cross variable abstraction, I dabbled with the idea that it might have been some application of the chain rule but never with this lucidity...

[chirho23]

Very good lecture!

I just have two comments:

(1) at 24:18, the y vaiable can be cancelled.

(2) at 41:18, the word "exercise" is mispelled.

[blakescello]

A very good comment!

I have just one comment:

At (2), the word "mispelled" is misspelled.

[NellyMath]

Thanks MIT!