More! Implicit Differentiation Examples

[@patrickjmt]

ops! you are absolutely correct! it should be just play ole 2y(dy/dx)! thanks for pointing out the mistake! sometimes i can not talk and do math at the same time. : ) thanks also for the kind words. glad the videos help, even if they are not always correct!

[@Zapples12]

we gonna handle the mistake like big boys, no problem

[@holleyjupiter7576]

Why does the y^2 become 2y^2 dy/dx when you find the derivative. Shouldn't it be 2y dy/dx only?

[@jezanko50]

Holley Jupiter He made alot of correct things.

[@malta-q4966]

product rule

[@vanessapena3812]

I always go to Patrick's videos whenever I struggle with certain topics in Math.You're the best!

[@patrickjmt]

Thanks, glad you like my videos! Come back any time :)

[@fewetoo]

Dude, you double rock. I pretty much go to class to get homework assignments. You are the one who actually teaches me this stuff.

[@thomasratliff9278]

Thank you Patrick. I really love your pace and your explanation of each step. Hats off to ya Sir

[@i1li1l]

MAN thank you soooo much...i have an exam in 3 days, and these videos are much better than (textbook + lecture notes + prof explaination) you are the man

[@carolinegeiger109]

I am taking Calc I through independent study(meaning I teach myself... well you taught me) and I just wanted to tell you thank you for all of your videos. I take my final tomorrow and your channel is the reason I have made it through the class and I think I have learned alot of the material well. So again, thank you.

[@ronalds271]

Best math videos on the internet. Thank you.

[@dragomanrd2]

dude if you ever read this i just wanna thank you for getting me through my first university math course. you are a scholar and a gentlemen

[@Deleoss]

I learn a lot more from watching your videos than I do in class. Thanks a lot.

[@hurleyan]

These videos are a God-send. Even though I have a great AP Calc teacher, it's great to hear it in another way. Also, this saved me from a complete mental breakdown before a quiz tomorrow, so that's positive... :)

[@joshefosho]

Hey man i just want to say that your video's are saving my life! My calc teacher blows through this stuff so fast, I feel like i should be paying you instead paying the absurd amount of money i do at my university! Thanks again man!

[@patrickjmt]

@omgpwnd my pleasure - glad i was able to help

[@patrickjmt]

very happy to have helped

[@patrickjmt]

@hyametal yes as the annotations and hundreds of other comments point out

[@apira21]

can't believe this seemed so complicated in class...thank you sooooo much! makes complete sense now :) you're an awesome teacher! i'll definitely be directing other people to your vids.

[@patrickjmt]

yes, i have added video annotations, and there are also about 8 million comments about it

[@bustachaina]

wow omg you're such a god! i love you so much! i did NOT get implicit diff. at all. this stewarts book is so hard to get sometimes, im just not as smart as you. but this helped so much! i also thought i was the only one who watched your vids but the other day in class i heard other classmates say "go watch patrick" with others chiming in "yeah he teaches everything in like 2 min . so easy"

[@flyingsquirrel104]

I bet you hear this often, but thank you! Your different perspective on math concepts (at least compared my professor) really helps me understand. Thanks again!

[@rust1477]

You are a gentleman and a scholar my good sir. I'm taking Calculus at UT Austin right now, and you're making it a ton easier. Thanks and keep it up!

[@Flubfinity]

I must say that you sir, have just saved my grade and self esteem in calculus. Thank you!

[@AJG1227]

Patrick, great video! Vheck 5:08 there's a mistake when obtaining the derivative of y^2.

[@titusbowah9995]

Albaro Guzman

[@titusbowah9995]

Albaro Guzman

[@alexriley4496]

Albaro Guzman teamwork

[@muhammadamirudin08]

Sorry i will make a new video for that

[@RidaMalik1]

Thanks Patrick... I had bad dreams about implict differentiation before I watched this video. My exam is tomorrow and thank you so much!!

[@patrickjmt]

i am glad i am able to help : ) maybe if you taped class and could rewind, that would help too!!

[@tech4rce001]

i dont know what to say !!! you are not my teacher, but you are proffessor!! thanks man , my exam is tommorow and this video helped me alot !! ( not mention there is a mistake in the video )

[@lo9i]

This helped me out of a hard place. Thanks for the clear explanations about what each step achieves etc. Needless to say...I'm going to need to do a lot of revision. Peace.

[@pinksunflower516]

So helpful! My test is tomorrow and I didn't get this at all until now, thx sooo much!!

[@GreyzaP]

I just LOVE your videos! so easy to understand and right to the point! great great great!!

[@patrickjmt]

glad to help! if you see me at the FAC tutoring, come say 'howdy'!

[@patrickjmt]

glad to help! good luck in the class!

[@brendinmiguez8733]

Patrick, I swear without you my GPA would be shit. All the way from remedial math courses, to now being in Calc1, I have used your videos like a crutch. "You Da Man"

[@DeJayHank]

You can also think of it like this: the only difference between implicit and explicit is that the explicit equations have the "y" alone on one side of the equal mark, while the implicit don't. when you for example take the derivative of : y= 2x+x^2 you get y'=2+2x notice that the " y " turns into " y' " (y prime). this is because you take the derivative of both sides, and that's exactly what you do in implicit equations. y' = dy/dx as he explains in the first example of this video

[@RezzzTooth]

my calculus professor sucks, you make my class so much easier. THANK YOU!

[@memirandawong]

probably better than our teacher...she had trouble solving a homework problem she gave US!

[@janiex7031]

SO GLAD I FOUND YOU ON KZbin. You are the PATRICK STAR hahaha. Thanks so much!

[@aniutastr]

OMG!!!!!! Patrick!!! you saved me!!! thank you so muh for your videos! i started doing the HW and i was just stuck on every single problem! i didnt get it at all! not, after watching your videos i did everything! thank youuuuuuuu! very much!!!!!!

[@patrickjmt]

@Timberwolvesfan25 if you are taking the derivative with respect to x (which we are) then that is correct.

[@one0xin]

thx Patrick....i've been hating implicit and dreading to take the test...but now i feel confident enough to take my test tomorrow!!

[@patrickjmt]

no prob bob! glad it helps! good luck in the class

[@patrickjmt]

i thought i had annotations pointing this out... does it not show up?

[@ijmckee]

Enjoying the examples and explanations. Thank you.

[@NicholasJNadon]

Thanks for mentioning the mistake! :) I paused and solved it before continuing. And then I thought my answer was wrong. Thanks Patrick! you rock!

[@memirandawong]

Your videos have helped sooooo much. My textbook reads like a science paper...it's all about the authors ego...I hate it. We talk great things about you in our calculus class. When something is confusing on the blackboard a classmate of mine will often say "if you're confused watch PatrickJMT, he has a great video on that!" I always second the motion!

[@thecocabonga]

I wish some teachers could explain stuff as you do! Great thx for the videos you provide.

[@patrickjmt]

sometimes, i dont know why i do it either! : ) i am not exactly a 'people person' : ) i think i am 'hedging my bet' - if i ever make it to the 'pearly gates', at least i will have one good thing to say about myself: i was the WORLD'S math teacher : ) (ok, maybe that is taking it too far!!) glad they help!

[@Fruitie4U]

I must say that you have truly made my worst class into my favorite....Thanks!

[@Libservative79]

I

[@patrickjmt]

ya ya! all the other comments point it out : ) i added annotations so hopefully no one else will point out my horrible math skillz!

[@MrBubblelone]

gosh, youre amazing with all your calc examples!!!!!!

[@patrickjmt]

@RISEofTIBET yes, i think i made a mistake in this video if i remember correctly!

[@pantheraonca3635]

At 1:42, do you have to distribute cos(xy^2) to what is in the brackets? Does the expression in the brackets also behave as an "input" like (xy^2)? Is xy^ an input? Couldn't you just divide 1 by cos(xy^2) to isolate what is in the brackets?

[@patrickjmt]

@TheDougheyMan if you did, it is for sure not me.

[@PaviSays]

Thank you so much. Your videos are truly very helpful.

[@WMcalMW]

Oh shit! I always turn off annotations before I watch videos and of course I failed to read the description -.- Sorry about that! Didn't mean to come off rude or anything I was just really stressed and really confused that night and had a midterm the next day :P. Again sorry, your videos are amazing and I'm so happy they're free, your the only reason I actually do alright on my tests, my prof is garbage. Keep it up!

[@zukilegwebityala7313]

Thank you dear with a goodness pace you are explaining

[@LoveActing21]

Your videos help me so much! Thank you!

[@patrickjmt]

i am drinking one right now after a long day of work... it is gooooooooooooood

[@patrickjmt]

yes, it is a mistake. there are annotations that no one notices and also lots of other comments about it.

[@luwamberhane9771]

love your neat writing and simple explanation thank you so much :)

[@patrickjmt]

you get the y point by plugging x=1 into the original equation and solving for y.

[@HNCelica]

Thanks so much! Hearing the whole explanation on why dy/dx is used made this easy!

[@patrickjmt]

@wperlich tons of calc 2 stuff in my playlist. i am not going anywhere any time soon. : ) congrats on your A!

[@mahsag1442]

I love these videos! Always so helpful

[@andrewliu3111]

Is there a small buzzing sound, or is it just me? Great video though!

[@patrickjmt]

Some of the earlier videos definitely have audio issues, sorry!

[@andrewliu3111]

+patrickJMT Ooh Cool lol

[@GreedyOrca]

It's kinda distracting yea

[@TheEliteBboy]

You're the man! I'm gonna rock this test tomorrow. You took the wrong derivative of "y" though. Other than that, goooooood stuff.

[@patrickjmt]

@bustachaina ha, glad you and your classmates like the vids : )

[@patrickjmt]

ha! nice!! glad i could help

[@NoFaithNoFear]

I know this is an old video and it might have been spotted already, but I've just worked through this example and I think the "2y^2" term in the denominator should be 2y. You might want to add a speech bubble to avoid confusion. I'm enjoying working through your videos btw.

[@patrickjmt]

thanks!

[@patrickjmt]

thanks! glad they help : )

[@LEXUS300SC2JZGE]

Thank you. I see you have become so good at math you only use a PERMANENT MARKER!

[@indiajag1]

Thank you! This makes a lot more sense now!

[@mojiganga2]

dear patrick the annotations of the correction are not showing up on the video... just letting you know. awesome videos, i always learn so much from you

[@Squishybutt2]

Omg, You are a life saver, I actually understand it and I got the correct answer!

[@nicoleisapig]

love you patrick.thank you so much for your help

[@patrickjmt]

my pleasure, so happy that i could help out

[@remyshah6745]

your videos help me a lot, thank you 😆😆😆

[@anamalagon6190]

the screeching sound throughout makes this video all the more soothing

[@lylass1232]

Good explanation. Good job !!! :D

[@susanamartinez6691]

You are the best...thanks for doing this videos

[@linkinms]

Thanks so so much. God Bless you Patrick! Will donate with what I have right now as a thanks :) A cheer from Saudi Arabia :) MS

[@loliwebb7267]

Thank you, Patrick!

[@kamalesha.p6965]

@patrickJMT Why is there a "screeching" sound when i play the video? Is it due to the Camera's fault?

[@hanjuneul]

I was extremely intimidated when I saw that we had to do implicit diff. for calculus, and i was having a difficult time on the hw! But after watching your tutorials, solving implicit diff. problems has become somewhat fun O_O;;;....so I thank you so much, Patrick! you're an awesome teacher! please keep doing what you're doing =`D

[@nuraqmal272]

thanks a lot man .. love all ur videos and ur explanation just awesome ...LOVE IT..

[@MendicantBias69]

calculus with a sharpie?! you are one wild dude.

[@cubencis]

in the first problem- can cos(xy^2) be crossed out from the numerator and denom- or does it need to be left as you did?

[@07HYSOKA]

thanks to you Now I understood the lesson tomorrow, I have a final test

[@patrickjmt]

ha, thanks! glad it helps

[@patrickjmt]

yes, read above comment!

[@lucas-xt4fv]

I just bought your calculus 1 video set on mindbites. GREAT for some easy studying but I still have trouble with finding derivatives of implicit functions when the term xy is included. every other implicit function problem is easy. Any idea what I am doing wrong? thanks again

[@creeperraper1337]

great teacher! better than my professor :D thanks a lot!

[@jeremywikler]

The second example, why do you put in (dy/dx) for the last two, but not for the first? Is this because the first is an x and the last is a y??

[@zeidakiss]

you deserve a beer.. thanks brutha

[@patrickjmt]

the derivative of a constant is zero, so it 'goes away'

[@laurencrom]

In the first example, couldn't you cancel out the cos(x*y^2) on both the numerator and the denominator?

[@demagz43]

is it possible to furthur simplify the first one by crossing out like terms in numerator and denominator?

[@shenalv]

Thanks for the video,but what do you get when you differentiate 2y????

[@massb5377]

The y square after differentiation should just be 2y not 2y'2

[@RaymuusicluverDL]

He wrote that there's a mistake in the description..I caught that too

[@ThundaSundaa]

lol you are honestly like my math teacher now.....cuz my teacher SUCKS, and when u explain it i actually UNDERSTAND haha thankkk youuuu :)

[@patrickjmt]

yes, as the 80 comments point out! as the annotations in the video also point out! thanks yet again though : )

[@6193031]

very well done i,m learning something