Implicit Differentiation 3 Examples Calculus 1 AB

[@brianacorrielus8890]

I FINALLY UNDERSTAND THANK YOU MR.TARROU

[@profrobbob]

Sounds like a BAM!!! moment to me:) Thanks for liking and learning...please sub and share this channel with everyone in every way!

[@profrobbob]

Happy to help and glad you found my channel. I hope you keep watching and sharing your enthusiasm!

[@bottledwater310]

I am a college student in southern California and would like to tell you how much I appreciate your help. I probably have the worst calculus teacher in America and without your help would know nothing pertaining to calculus. It means so much to find a teacher that genuinely cares about students comprehending the information. I have literally watched every single video you have uploaded for calculus through implicit differentiation and you are my calculus teacher. Thanks so so much and keep at it!

[@mathnerdwannabe2494]

I am absolutely AMAZED that I can understand this! Mr Tarrou, you are a miracle worker. Thank you 🙏🏼

[@profrobbob]

BAM!!! ...and you're very welcome once again:)

[@profrobbob]

I feel like I'm in class...Thank you for watching and taking the time to send such a heartfelt comment. These are the comments that make all the additional after school hours worthwhile!!! I hope you continue to watch and learn from your internet teacher and share my channel with your friends and fellow students, word of mouth is the best way to help me grow and continue to make new videos..."THANK YOU"

[@profrobbob]

Thanks for choosing my videos to learn from, even if it was a bit late! I will be teaching AP Calc next year and have recently started adding to my Calc library...please keep that in mind if you know others looking for extra help:)

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I've been watching your videos for over a year and since then I haven't got one math test back that I'm disappointed with the grade. THANK YOU MR. TARROU! KEEP UP THE GOOD WORK! You really are doing great things.

[@profrobbob]

Thank You Nick for sharing your successful Tarrou's Chalk Talk experience with me! I call it teamwork...I furnish the lessons and you take full advantage of the additional help that is offered:) Because of motivated students like you my wife and I continue to work very hard at growing this channel with hopes to help others like yourself! Keep up those great study habits and grades and make your teachers proud:)

[@adrianasaire376]

Thank you so much for these videos. I have been confused by all my math teachers, but all I do is come to your page and watch the videos related to what we are learning. I just got 99% on my first calculus test because of your help. THank you! I love how you break everything down to an understandable level and don't skip steps. You're the best. I continue to enjoy math because of you.

[@profrobbob]

You're welcome! OMGoodness that's AWESOME Adriana Saire Congratulations...and a nice way to start off the class! Thanks for watching, learning and subbing to my channel, for the really nice compliment and I'm glad you are finding it so helpful and most of all "learning to ENJOY math...BAM!!! That's the best thing a teacher can hear:)

[@TheSuaveBOSS]

WOOOHOO I understand this! You and PatrickJMT both have explained the concept of Implicit Differentiation quite thoroughly and, quite honestly, straight to the point! 1) Take derivative like always 2) If there's a 'y' or any other variable, tack on a dy/dx or y' to the function/equation. 3) Solve for dy/dx or y' Done.

[@jimcar53]

you are an amazing teacher + a sense of humour = I've leant heaps

[@profrobbob]

..more compliments...you are too kind!

[@jimcar53]

@@profrobbob I’ve rediscovered my luv of mathematics due to Covid lockdown here in Melbourne Australia. Once again I enjoy your delivery and approach.

[@josefinaamaro5631]

Thank you. These examples were so helpful and the care you put into these videos are noticeable. It's appreciated that you aren't sacrificing the quality of your content in order to meet a shorter time stamp. I watch your videos on a weekly basis and they've been a life savior through 2 semesters thus far. Wishing the best of luck to you and your family. :)

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You're welcome and thanks for taking the time to acknowledge my hard work and share your appreciation and sending your good wishes! Please be sure to share this channel with your friends, classmates and especially your teacher so ALL current and future students know where to find this free study resource...BAM!!!

[@MrBean350000VR]

By far the best calculus math KZbin channel! Thank you!

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+Daniel He you're welcome and thanks for that testimonial and for choosing my channel to learn from! Please take the time to like, subscribe and share this channel with all your friends, classmates and teachers to help us keep growing:D

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YOU ARE THE BEST!!!!!!! Words will never explain my love for you and your work.. I've never posted a comment on ANY KZbin video I have ever watched.. But this is too good to pass up !

[@profrobbob]

Nicholas William Bonis THANK YOU!!! I'm honored to be the first! ...and thanks for learning with #ProfRobBob I hope you will share my channel and your learning experience with everyone and please remind them how important it is to support these free educational channels by liking, subbing, supporting the ads and sharing:D

[@erikfeehan6312]

You are the man! I am a Biology Education major and I absolutely love all of your videos. You are passionate (without a doubt) and you know how to make it click! keep rockin RobBob!

[@jamesmartino2882]

I'm a freshman in college and I watch your videos whenever I need help. You make more sense than my professor so thanks...BAM

[@profrobbob]

And THANK YOU for choosing #ProfRobBob to watch and learn from James Martino please share my channel with your class and your professor as an additional after class study reference!...and remember it's important to like, subscribe, support the ads and share these free educational channels to keep them FREE!

[@infernez]

You've given the most comprehensible explanation for implicit that I've come across. Paul's notes, KhanAcademy, both failed to explain this as easily as you did. And for that, I thank you.

[@profrobbob]

You're welcome Infernez Zenith and THANK YOU for that awesome testimonial:) I hope you will share my channel and your experience with all your friends, classmates and teachers while you remind them how important it is to like, subscribe, support the ads and keep spreading the word about this channel to help us keep growing and helping others like you...BAM!!!

[@infernez]

ProfRobBob I will, however I am having issues in areas I couldn't find in your videos. Such as when e comes into play. Example: e^(x+y)=y. This become a bit messy and I'm still unsure how to get the answer.

[@profrobbob]

THANK YOU for that very kind comment! Maybe someday the world will realize that teachers are the ones responsible for teaching the future of this world. If teachers were considered as valuable as actors and athletes, there might be more passionate and enthusiastic teachers pursuing the profession. Most teachers are not in it for the money, they teach because they just love to teach...and I DO LOVE to teach!!! So be sure to take the time to thank your other teachers for loving what they do:)

[@methodman520]

your strategy is solid man! good work. It seriously helps us prospective calculus students understand that its really just a bunch of algebra with a little bit of new theory.

[@sharollcalderon1088]

I feel like I can actually pass my calc tests after watching your videos! -thank you so much.

[@profrobbob]

You're welcome Sharoll Calderón please SPREAD THE WORD and tell everyone to like, subscribe and share too:D ...right after you pass that test like BAM!!!

[@branhoff]

These videos are great. I wouldn't be able to do this at home without these videos. 4:49 made me bust a gut... implicitly

[@profrobbob]

So happy to hear that you are enjoying the entertainment and your learning experience….implicitly. Thanks for choosing my channel to learn from, subscribe to and support!

[@profrobbob]

Thanks. Congratulations on your success in Trig. All the Calc videos I have done are up and I am done with the concepts I will need to teach in the first four chapters I believe. Two of those four chapters are on derivatives and the first chapter is on limits so those should be useful. Do you know what book you will be learning from? If so I would buy it early and start studying that and doing your own "homework" this summer.

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[@sabithasasikumar239]

If my problem was ycosx+x^2 +y^2, does ycosx become ysinx times y' ?? Thanks!!!

[@johnshell1223]

You dd it once again! I have been referencing this channel before I go to lecture and when I am confused on homework. Matter and fact, I told many students in my Calculus class and friends about your channel. Thank you so much for giving out free informative videos. It's helped me tremendously.

[@profrobbob]

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[@johnshell1223]

Okay, I will for sure be reminding of them of that!

[@profrobbob]

John Shell THANKS!

[@rohmaxy9901]

Prof, first your video on vectors helped me, now I have also understood implicit differentiation after watching this lecture. Really good effort. Thanks a million Prof!!

[@profrobbob]

You're welcome Roh maxy ...and thanks for your continued viewership:) Just keep spreading the word and help us continue to groW!

[@rafizihad2297]

Hello Mr.Tarrou. :D I am a Bangladeshi and after one month,my engineering admission test will be held. you're really amazing.I am very thankful to you and learning a lot from you.I hope i will do better in calculas in the exam.

[@profrobbob]

Keep watching, learning and studying and I'm sure you will pass that admission test like BAM!!! ...and after you do, please share this free resource with all your classmates and teachers so we can continue to grow and help students like you everywhere:D Best of luck and thanks for subbing too.

[@EP-rq3pn]

I love math anyway, but NOBODY can make it as fun as you do. Thank you thank you thank you, this makes so much sense. Oh, and please excuse my numerous comments, I'm binge watching your calc playlist :-) (and liking them all of course, haha)

[@profrobbob]

You are too kind! You made my day reading your many comments and knowing that you are having FUN learning math💯🧮👨‍🏫. Thank you for choosing my math lessons and keep the comments coming. I love teaching and views like you keep me motivated to make more videos.

[@profrobbob]

You need the product rule for you question where f(x)=y and g(x)=cosx

[@michaelindab8539]

Thank you, your video lectures are really a great help in my studies. I am so grateful that you are making these kind of lectures.

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[@Soulflame123]

you are seriously the best ever. Thank you! you helped me understand chain rules, derivatives of logarithmic functions and now implicit differentiation

[@profrobbob]

You're welcome Soulflame123 ...and THANK YOU for choosing Tarrou's Chalk Talk to watch, learn from and subscribe to! I'm happy to hear that they are helping you understand math...and hope you continue to watch and share your new found knowledge and my channel with everyone looking for free math help!

[@profrobbob]

WOW....very impressive. Thank you for subscribing and choosing my channel to study and learn from. Now BAM!!!...go get that "A" you so deserve, on your midterm!

[@donhancock332]

I was wondering when you would square that y.

[@profrobbob]

Thanks for being patient...BAM!!!

[@HisBelovedQueen]

thanks again! your enthusiasm is so contagious, makes it so much easier to get through all this math! haha puts a smile while i do math! :D

[@profrobbob]

That's awesome to hear Apollo-milkchocolate ...I just answered your last comment...and hearing this really makes me SMILE:) too!

[@pradyumnarahul]

How do i substitute for y' x^x(log(x)+1) = e^(x-y) (1 - y')

[@o0KnightOfZero0o]

having a lot of trouble in ap cal class, this video is mind blow and thanks for your help.

[@helpontheway7856]

Great to be back up on the chalkboard with you! You really cleared things up in the matter of a BAM!!!!

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Awesome job as always RobBob, BAM! I find your videos doubly helpful because I want to teach when I finish up school. I went to high school in a good district, and I've taken classes at UT Austin and University of Houston... I've had a lot of good teachers, but you are the best dude!

[@profrobbob]

+SonicDaEggNog what a nice compliment...the only thing that would make today better is if we final beak thru that 100,000 subscriber count...BAM!!! I hope you find teacher as rewarding as I have...one of my favorite quotes is: "Choose a job you love and you will never have to work a day in your life" I've been teaching for almost 20 years now and KZbin has made this profession even more rewarding because of students like you:) Keep your eye out for that "silver play button award" video...as long as they still send one!

[@yeny7194]

what happened to the 3 in front of sin in the original given function? why do we leave that one alone?

[@donhancock332]

Couldnt the square root of xy cancel out in that last equation?

[@sconrado37]

I really wish that I knew about your channel prior taking AP Calculus, preferably during last summer. If I did then I'd be a beast in calculus by now :)

[@gefenskolnick6856]

i really wish you were my calc teacher this year...thanks so much for the help!

[@profrobbob]

You're welcome Gefen Skolnick just like and SUBSCRIBE and I can be your KZbin Calc teacher 24/7...BAM!!!

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+ProfRobBob you deserve a Nobel Prize!!!Thank you so much!!!!

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+Anjum Nabila thanks:)

[@faithisabel25]

Greaaatttt Explanation! Thank you Prof Rob! Happy New Year, Sir :-)

[@profrobbob]

You're welcome...good to see you back and Happy New Year to you too:D

[@sebastianobando7088]

Geez! My brain was burning on that last one. But I got it right.

[@profrobbob]

You know what I say when I get it right?!...BAM!!!

[@kro3232]

So whenever you have a coefficient in front of a trig sign when doing implicit differentiation, you don't have to do the product rule/ worry about the number at all?

[@profrobbob]

Correct. This is the same as not going through the entire Power Rule to take the derivative of 3x^2.

[@rubinetienne4477]

Sir, you are a heaven sent.

[@profrobbob]

Thanks for taking the time to choose my channel to like and learn from:) Please SUBSCRIBE and share too:D

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Thanks so much! I have a practice ap exam today so your videos helped make me more confident that I'll pass :)

[@profrobbob]

+ILoveFoodOkay you are so welcome...and THANKS for choosing Tarrou's Chalk Talk to learn from and sharing your new found confidence...I know you'll pass it like BAM!!! Thanks for supporting by liking and subbing and I hope this means you are sharing my channel with all your friends...tweeting, liking on Facebook, sharing with your classmates & teachers and helping my channel groW and help others find their confidence too:D

[@profrobbob]

ILoveFoodOkay you are so welcome...and THANKS for choosing Tarrou's Chalk Talk to learn from and sharing your new found confidence...I know you'll pass it like BAM!!! Thanks for supporting by liking and subbing and I hope this means you are sharing my channel with all your friends...tweeting, liking on Facebook, sharing with your classmates & teachers and helping my channel groW and help others find their confidence too:D

[@mrwilliams2005]

Mr. Tarrou what happened to 6x^2y^2 not 6x^2y when added 6x^2y^2 to both sides? I am respectfully asking sir.

[@joymeemallo]

I'm really learning from you. Thank you!

[@profrobbob]

+Joymz De Vera Mallo you're welcome!

[@SKYLuxgen]

I understand how you took the derivative of (xy)^1/2 but then why did you take the derivative again at dy/dx of (xy) after that? Thank you.

[@profrobbob]

I am working though the chain rule.

[@frankoranday]

your intro is so catchy every time i solve a problem now, i say "BAMM!!, MR.TARROU!!" inside my head haha

[@profrobbob]

LOL...you make me proud Diesel Up Merica' :)...but don't be afraid...go ahead and "Shout it Out Loud"!!! Don't forget to like, subscribe and spread the word:D

[@Salgandarin]

Thanks, where did you get that t-shirt from?

[@profrobbob]

You're welcome. A retiring teacher passed it down to me...I've never seen another one exactly like it either.

[@projecttoheaven2579]

Hello, I thought sqrtXY is a form of the Product Rule. If it is, how come you didn't use the product rule? Thank You

[@profrobbob]

+Projecttoheaven I used the Product Rule going from the third line to the fourth. Thanks for watching:)

[@profrobbob]

Hahahahahah...I just watched it again to see what I did and I even made myself laugh...hahahahahah:) I have too many videos to remember and I always try to incorporate a little humor just to keep math FUN! Thanks for supporting by subscribing too.

[@louela2009bebu]

I learned a lot from you, you teach better than my real professor :)) ..

[@profrobbob]

Thanks for watching, learning and subbing Louela Aragon ! I hope you will also share my channel with your class and remind them to subscribe too:D

[@PinguExpert]

Thanks prof. And by the way is it really hard to find passionate teachers like you?

[@profrobbob]

You're welcome and thanks for tuning in! Don't forget to like, subscribe and support the ads too. I do love teaching and I'm always glad to hear when that passion shows thru in my videos...please keep sharing this free educational channel whenever you can:D

[@ayavuyamaqotha322]

thanks prof your videos are really helpful

[@profrobbob]

You're welcome...I hope you will Like, SUBSCRIBE and share with them with everyone:D

[@rickdelagarza]

In your second example, isnt 3sin(2x) a product so why not use the product rule?Also why didn't you mess with 3 at all?

[@profrobbob]

You can use the Product Rule but since one of your factors is a constant, the coefficient of 3, you will get the same answer.

[@MrSpander]

Now that is a cool shirt! I think I got a B in trig, but I wont know for another week. Thanks again sir. Calc 251, (differential calc) could you give me any advice? I am taking it in fall, but want to study this summer.

[@Realestate_ARV]

Thank you so much for helping this semester in calculus. I love your videos and will continue to use them. As supporter of your youtube channel I would like to offer some feedback. After Learning Implicit differentiation, my next goal is learn DERIVATIVES OF LOGARITHMIC AND EXPONENTIAL FUNCTIONS. I am not sure if I see a video on your website that explains that. I think It would be an awesome idea to include a video explaining it because it will would definitely help alot of students. Oh yeah and because of you I have a 98% in my class.

[@profrobbob]

Brent Newton My Calculus playlist is far from finished, especially if you are going on to Calc 2 and beyond, but I have you covered here. www.profrobbob.com/calculus/logarithmic-exponential-and-more-transcendental-functions BAM!!! Thanks for your continued support. AND CONGRATULATIONS on that 98%. You sure know how to make a teacher proud:D:D:D

[@DavidSilva-gc7bz]

I need help. x sin(5x+7y)=y cos x

[@KVideos789]

wait, I think you messed up on the second example. The first part had both the product and chain rule but you only used the chain rule for sin part of the first bit. The original chunk of 3*sin(2x) would have to be (0)(sin(2x)) + (3)(cos(2x)*(2)) or am I just overthinking it ? Thanks :)

[@saidabdoo2780]

Very clear, Thanks a lot Mr. Tarrou +

[@profrobbob]

+Said Abdoo you're welcome and thanks for learning and subbing:)

[@andya2879]

Hi prof, Your videos have helped a lot, and maybe I've missed a few videos on this since I usually refer to KZbin whenever I need an in-depth explanation on certain concepts. I understand the part where you have to insert y prime to any y that you're taking the derivative of; however, what I don't quite get intuitively is ... well ... how come? What I currently know about dy/dx is that it represents a very infinitely small changes of y in relative to the changes of x, but if there's a different concept that I need to grasp in order to understand why we're taking the chain rule of y in the equation please let me know! Thank you!

[@profrobbob]

LOL..:) There you go again...making my day with another witty comment:) Glad to see you are still paying such close attention to my lessons!

[@rickdelagarza]

I like your videos.They help alot.

[@profrobbob]

Thanks for watching, learning and subbing Rick Garza ! Please share my channel with everyone:D

[@ketakikulkarni6404]

We always find dy/dx, but on my math test we are going to be required to find d^2(y)/dx^2. How would you do that?? Anyone can answer!

[@profrobbob]

Check out the third lesson on this page, www.profrobbob.com/calculus/implicit-differentiation

[@ketakikulkarni6404]

Thanks that really helped!

[@profrobbob]

BAM!!!

[@quincejohnsjr.9431]

I like this guy

[@profrobbob]

If you do...please take the time to like, sub and share this channel with everyone...BAM!!!

[@Ayee_me]

Omg very helpful and made it much clearer for me:) thanks!

[@profrobbob]

You're welcome ***** and thanks for learning and liking:) Please SUBSCRIBE and share my channel with everyone and help us groW!

[@charlieligon3981]

Thanks professor for the tutorial. It help me alot. Keep up the good work. :)

[@profrobbob]

You're welcome Charlie Ligon and thanks for watching, subbing and learning from #ProfRobBob ! I'll keep posting if you keep watching and spreading the word:D

[@learncode6477]

i want to buy this t-shirt .how will i do it?

[@profrobbob]

I was given this shirt many years ago by a fellow retiring math teacher and have NEVER seen another one exactly like it. My best advice is to google full face Einstein t-shirt till you find one you like...good chance to find a more unique one on one of the pre-owned sites...good luck and thanks for watching and learning...BAM!!!

[@hadeerrashad5486]

Great examples thank u very much for doing this video!🙂

[@profrobbob]

You're welcome...thanks for being one of my best students too:)

[@hadeerrashad5486]

ProfRobBob you’re the best calculus professor In the world !😉

[@profrobbob]

Thanks!

[@eduardolima9188]

Thanks so much for the videos! Really helpful!!!!

[@profrobbob]

You're welcome Eduardo Lima thanks for choosing #ProfRobBob !

[@DylanBegazo]

Was good Mr. Tarrou? My HW Grade! X) 100%.

[@profrobbob]

Dylan Begazo BAM!!!...nice job on that 100%

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I love ur channel

[@profrobbob]

Thanks for watching...please share the love and this channel with everyone:D

[@elyasali7796]

These really helped me, I have become bam in calc, I have to show this my classmates so that they will become bam too

[@profrobbob]

+Elyas Ali that's awesome, thanks for the shares...just wait till the whole class starts saying it...BAM!!!

[@profrobbob]

Yeah!!! That is exactly what I wanted:)

[@Truth1421]

Thank You Sir.

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Awesome!! Helped me alot!! :D

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The calcworkshop lady really thinks Im going to pay for a lesser version of Mr.Tarrou

[@profrobbob]

+Mustafa Abban BAM!!!

[@andrewliu3111]

+Mustafa Abban LOL Mr. Tarrou is the way to go

[@profrobbob]

+Andrew Liu thanks! ...please take a few minutes of your time to help us grow. We ask that you take the time to like, subscribe, support the ads, like us on Facebook, share thru social medias and with all your friends and classmates to help keep these free educational channels free...BAM!!!

[@profrobbob]

Thanks:):):)

[@profrobbob]

Your welcome:)

[@Andrew-tf9xp]

Having trouble trying to cram 9 chapters in one day, maybe I should do one chapter per day.

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i just subscribe at Rowan Atkinson's class :)

[@profrobbob]

BAM!!!...and we appreciate it:)

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+PROFROBBOB YOU ARE MATHEMATICALLY GIFTED , GO TO YOUR HOMEWORK

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Your soo funny, i can't even.

[@profrobbob]

Thanks for watching mandemonKet ...please don't forget to like, subscribe and spread the word too:D

[@RichmondeCalalo]

PatrickJMT is ur BEST ENEMY! Wahaha

[@85lbelt]

BAM!

[@profrobbob]

You just said it all:) And thanks for choosing #ProfRobBob to learn from, like and sub to 85lbelt

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Mr. Bean is that you??

[@profrobbob]

No mark alwyn ...just Mr Beans stand in asking "Why haven't you SUBSCRIBED yet" ?!

[@markalwyn8581]

Just kidding Dude. :D

[@profrobbob]

mark alwyn no problem...I hear that a lot:D ...and THANKS for subbing...now all that's left is to share with all your friends and classmates too...BAM!!!

[@flawns]

Gangsta 04:37 wassup, you implicit?

[@kentallred7200]

....Sup..?

[@profrobbob]

My subscriber count thanks to you Kent Allred :) Thanks for liking and subbing to Tarrou's Chalk...please SPREAD THE WORD:D