General Chain Rule - Part 1

[TheThirdReigh]

I have spent hours in the traditional college classroom and learned very little. I sit around my computer and watch your videos for 10-15 minutes and I able to understand and solve the problems within minutes. Your videos are excellent, thanks a lot.

[altSt0rm]

Really useful and informative. Thank you!

[loik345]

You are a life saver.

[Modi2020]

you should teach at Cornell Man...TAs and teachers here suck p...... for a living~!

[jormoria]

hey! im trying to graduate so i can move to Austin and leave Dallas;if that ever happen i buy you a beer on Guadalupe street;thanx for the help Patrick.

[patrickJMT]

@jormoria that works for me

[jormoria]

come and teach at UTD please!

[patrickJMT]

@jormoria dallas? no thanks! : )

[martmelee]

Do you have any videos with optimization problems using partial derivatives? multiple variables calculus.

[J4e8a16n]

Yes! That's clear. Maybe I was ready for it but you for sure trow light in my life.

I am ashame not to have draw the tree of implicit differentiation by myself :o)

[n00dl3head]

i'm in calc 3 right now, and everything my professor says is jibberish. after i watched this....i am in complete awe. YOU ARE AMAZING. if only every math teacher taught like you...

[patrickJMT]

@n00dl3head happy that i could help you a bit : )

[consigliere3333]

you are amazing

[MaroonMonarch]

EPIC.



[shamefulbeats]

You did it again man. thanks so much. why do i even go to class

[milkeatscereal]

"partial" look like 2. so wtf?!?! im completely thrown off

[fcdog555]

@milkeatscereal if you are talking about the partial notation, all it is is a weird looking d that is prone to being messed up and looking like a 2.

[pendolly]

panic!panic!i have my first calculus exam coming tuesday.thanx patrick for the good work you do

[pittbinho]

Fantastic way of explaining has really helped thanks!

[Atsuke]

"With respect to u."

NO. Respect to YOU, not me. You are a freaking lifesaver.

[DavidJHilt]

I like treating each component as a branch. That's a very clear way to think of it.

[19collinsjeff]

Sharpie = confidence



[abc1236092]

THANL YOU SO MUCH! I THOUGHT I HAVE BEEN DOING THIS ALL WROUNG BUT YOU HAVE HELP ME CLEAR THINGS UP ABOUT THIS

[trickoff]

would love to see a second order derivative with chain rule!

[Schutzstafell]

I love you

[Q8RedDevil91]

no second orders : (

[patrickJMT]

@Q8RedDevil91 sorry : (

[TheBaseballman1990]

thank you for this, my teacher just gives up when the harder problems come around, this video is literally the only way i can learn this!

[mrayon17]

may god bless your work man, thank you so freaking much man,,, people like you will be paid when u least see it coming

[Dusevic]

nooooooooo way the second question was the exact question i needed help with, same variables and everything!

[patrickJMT]

@Dusevic magic!

[Dusevic]

@patrickJMT must be. Thanks for the help!

[DeeJayFoodstamp]

@Dusevic sometimes you can google the problem u need help with and someone somewhere will have posted a step by step solution!

[shadowfrost91]

I just finished going through the exact same problem as Example 1 for my homework, and I checked my solutions manual.

The answers in the manual is 4(2xy + y^2)^3 - 3(x^2 + 2xy)t^2. I know what they're doing, but what happened to the "t" in the first half [4(2xy + y^2)^3)]? Or is that a typo?

[tcurrsdmaster]

i went for extra help from my professor with a very thick asian accent. he has explained it to me like 3 times and i never got it. These videos are the best! Thank you for not being like some of the other youtube professors and charging for your lessons. I hate not being able to get answers without either looking really hard or paying like $50. Just wanted to say thank you. You have saved my grade many times.

[MajinAmmaar]

In my calculus book after it talks about the chain rule it goes on to talk about the general power rule, is that the same thing as this general chain rule?

[patrickJMT]

@MajinAmmaar no, not exactly; i assume you are in first semester calculus, so you are still doing single variable stuff; this has to do with multivariable stuff. technically this applies to what you are doing, but the general power rule is a specific rule versus a general procedure (which this is)

[AlternkeaneJunkie]

you rock big time.

[yonatanalemayehu]

The tutor is so good but only it so narrow screen to see it....

[imjohn007]

i just nominated you for the cnn hero of the year award

[patrickJMT]

@imjohn007 hahahah, really?! that is funny, and very flattering : )

[1453fx]

thanks 4 the lesson.be4 i watch this i didn't know to do this chain rule thing.thanks to u i got it right.i wish u all the best

[bfferz]

how do you know when to use a partial derivative rather than a regular derivative?

cause on the first example, you used derivative of x in respects to t. but on the second example you used partial of x to u. i hope my question made sense.. o_O hahah

thank you!

[commanderkool868]

@bfferz in the second example he uses the partial of x to u because x depends on more than one variable, in the first example x only depended upon t so the derivative was used rather than the partial

[KRDONDUKES13]

well at least you are doing your share. but if you arent already a professor, you should definitely think about it.

[patrickJMT]

@KRDONDUKES13 i have no desire to do it

[Loksta112]

man i could kiss you! haha in a non gay way ofcourse lol. ur very helpful! thanks man

[Loksta112]

man i could kiss you! in a non gay way ofcourse lol. your extremelly helpful :). thanks man

[KRDONDUKES13]

hey how come you haven't been nominated for Nobel peace prize award yet

[patrickJMT]

@KRDONDUKES13 hahahahahaha

[patrickJMT]

@KRDONDUKES13 i think a couple people did nominate me for 'cnn hero of the year' which is funny to me ; )

[KRDONDUKES13]

i think you are brilliant and deserve an award for your contributions.

[patrickJMT]

@KRDONDUKES13 thanks : ) however, there are lots of people out there in the world doing nicer things than me!

[tstc79tt]

Ummm Beginning Of Cal.....T-T i'm gonna blow up......5 day left for the exam

[an87york]

what if you have x & y functions of two variables for an example x= tsin(q)

[lanner777]

Wonderful job, made my professors scribbles on the board seem like chicken scratch!

Keep up the amazing work!

[327372]

@filmcruiser88 yep

[clemernitsch]

Dude, u r the BEST!!!!! ☺☺☺

[wlmngtn310]

Wow, you are simply the greatest! If only all my professors were as good as teaching as you are.

[lusixoxo]

nice marker! you must be thinking a lot!!!

[johandvkarlsson]

Your chain rule "trees" are great, and generally it's great to have such a good tutor as yourself available on the internet, it's helped me and my classmates hugely getting through calculus! Greetings from Sweden

[erAshwanisoni]

great video

i liked it very much

probably cannot forget rest of my life

[aroguegurklis]

Wow. This is great!

[aroguegurklis]

Wow. This is great.

[vabs9211]

great!

[trese0000]

Hey Patrick, is this going over Calculus 3 or Calculus 1.. I know the chain rule is Calc 1.

Thanks

[tysterr]

At my university we are doing this in Calculus 4.

Patrick, thank you very much for doing these videos. They help more than you probably think.

[327372]

@tysterr wow ur university sucks! this is calc 3.

[tysterr]

@327372 I just like the engineering program here. But yes the "general requirements" portion of my university sucks.

[harkerhh]

The chain rule for normal functions is for calculus 1 but this is multivariable calculus (calc. 3 in my U) so its a different chain rule.

[Beefstew2011]

5/5. Infinitely easier than every other explanation i've found for this.

[TheFran90]

Thank you, thank you... you just made my life soo much easier :)

[joshhk69]

legend mate, ur a star!!!!

[beeboobea]

can you just differentiate xy first before differentiating the whole term?isn't it the product rule?im just wondering.

[patrickJMT]

yes, you are just using the product rule in essence

[327372]

@patrickJMT : what textbook examples do u use? im guessing james stewart calc

[patrickJMT]

nah, just a normal guy making vids on youtube! glad i could help though : )

[forzofdahorse]

waht is dis Advanced math??

[patrickJMT]

no, it is only the beginning of calculus

[eggrollXXXM]

is this really the beginning of calc? because it so, that's amazing.

[Emphasec]

Well it's obviously not English, which you clearly fail at :\

[forzofdahorse]

haa.. are you talking to me or sumone else???

[327372]

@forzofdahorse: calculus 3

[xylokid4]

it makes me not feel like such a loser to know that 1603 people have already viewed this video

[patrickJMT]

ha, why would trying to understand something make you a loser? : )

[saradani79]

Thanks very much fo the lesson!!!!!