Implicit Differentiation

We are pretty good at taking derivatives now, but we usually take derivatives of functions that are in terms of a single variable. What if we have x's and y's in there? We need a new technique! It's called implicit differentiation, and it goes like this.

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[RemixerUltimate]

Multiple days of class and it just wasn't clicking. And it takes one 10 minute video to cement it. Holy hell.

[stephaniemangwiro]

Thank you so much, who knew you could learn more from an 11 minute YouTube video than a 45 minute lecture

[chocolateylovv]

ive never understood this concept for almost a year and my exam is tomorrow, the moment i understood i almost cried tears of joy, thank you so much!!!

[MrJuandahero]

I hate to admit it but the color coding the breaking down each step made this crystal clear.




Here, have an thumbs up

[ramithjayasuriya]

its 1AM and i'm getting ready to the exam tomorrow. and didnt know a thing about this, but this video made me understand every possible way it could happen. Thank you so much.

[eigentheory]

I have seen this video many, many times and I must say it is hands down the best explanation of implicit differentiation that I have seen. I hope to use this explanation when I am able to teach Calculus one day!

[golembes]

I am a calculus teacher and I have looked a few videos on this subject. Your video is the first one I have watched that actually does this mathematically correctly. Thank you! If students simply memorize a process and do not understand what is happening, they are going down a dead end street. Your video was very easy to follow and you emphasized quite nicely the concept of "the derivative of something with respect to something else" - a critical concept as we progress through calculus. It is not about getting the right answer it is about getting the right answer by understanding the mathematics. Thank you! I will post your video for my students in addition to my own videos.

[undeadman]

I'm currently taking Calculus 1 from home without any video lessons or instructions from my professor because of the current pandemic. This video has gotten me a perfect score on my assignment that is due in 2 days. I understood it well enough to even take it to its second derivative, and that's from a single 12 minute video. I'm excited to go back and work through the proofs for this for a few days once I finish my exam!

[arrtwo]

Got a calc test tomorrow and this is saving my ass. Thanks dude.

[kels]

This was the first video I found that actually explains WHY things are happening with implicit differentiation, specifically, around the 3:00 min mark. It is also the clearest visual representation, much easier to follow than someone hand writing at a whiteboard. Also, you are just low key encouraging, so thanks! I appreciate your efforts!

[icecube]

I am a 9th grader and I want to be a scientist. I decided to learn calculus and I spent 5 whole hours trying to understand this thing. Thanks to this video I can understand implicit differentiation. I am studying quantum mechanics and relativity and I am working on a theory of my own with my friend. I absolutely love your videos and they help me so much. I owe you respect.

[astro_boi]

I'm going to a 100-item calculus exam tomorrow guys pray 4me💪❤

[erniemyleskeelerkeeler]

You someone give this guy a Nobel prize. I could listen to a lecture all day, come home and learn 5 times as much watching a small video. thank you Professor Dave, Keep up the fantastic work

[sondidu]

I'm here because my teacher can't teach

[evanmastermind]

3:30am; test tomorrow. Finally learning this stuff.

[HappyRhino]

I'm sure you get an increase in views during finals- and its well-deserved! Thanks for the refresher.

[slek_cs]

Not gonna lie, I need to pay more respect to X 😂

[Iucebowel]

Studying at 1:00 AM, got a math test tomorrow and this helped a lot; Thank you!

[treymtz]

I've taken cal like 2 times now. This is the one video that made implicit differentiation understandable.

[woopwoop]

I just came across this for the first time, having somehow missed it in my previous university modules, and I swear that you're the only person who managed to make this seem like the simple concept that it is. I came across Khan Academy's explanation first, and they made such a song and dance of it I was lost within 5 minutes xd