Product Rule for derivatives: Visualized with 3D animations

Visual representation of the product rule for derivatives in Calculus.

[EugeneKhutoryansky]

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[EugeneKhutoryansky]

In case, you have not already seen them, I also uploaded several other videos recently.  As always, for each video that you like, you can help more people find it in their YouTube search engine by clicking the like button, and writing a comment. Lots more videos are coming very soon.   Thanks.

[pendalink]

The more of these videos you make, the more I am able to imagine myself how to prove other rules and properties. Thank you so much for every one of your explanations

[cucomber]

Helped a lot. What about quotient rule and chain rule?

[oleg]

Thank you very much for putting effort into producing videos so frequently!

[funguyscienceman]

Thank you so much for this video. I've been trying to find out what derivatives are and none of my maths or science teachers would tell me..because I'm 12. You explain things so well and so easily and I would like to thank you for your videos because I've watched them all and they really help me .

[tiagofranca]

That's why i love this channel, i can see why things are the way we tell they are :)
Thank you for make this video!

[timwhite]

It's AMAZING how something can become clear when you can see it rather than trying to decipher what an equation represents.

[johnopalko]

I've been using the product rule for years but I never really understood why it worked until now. Thank you. Enjoyed the Satie, by the way.

[LahLahLahification]

This is great for new learners! For people who prefer a faster pace you can increase the speed in the video by clicking on the cog, speed, then selecting whatever multiple of the speed you want from the drop-down menu (on Google Chrome at least).

[bloggervista]

Thank You Eugene . Repect Your Animation . Now the day where we used to ask please release video soon is gone :) . Thanks for releasing every video on short duration :)

[davidflores]

I find really interesting your video as your explain everything really visual and clear, and although I kind of know about derivatives I actually never was taught so thoroughly into this. For some reason calculus wasn't something teachers took too seriously when I was in High School as nobody else seemed interested in even trying to understand.

I'm also very happy that I finally understand what is going on with derivatives and 'dx' and 'dy' since I learned to perform derivatives with the 'h' method in which you sum h to every x (if the case) of the original function minus the whole function and so on.

By the way, if you can, in the future you could also make a video about some basics about integrals. And again, nice video!!

[EugeneKhutoryansky]

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Thanks.

[serbanliviu]

Can you make a similar clip about the chain rule? Great great work :)

[ucasvb]

Which rendition of Satie's Gymnopedie #1 did you use here? It's slower than usual and really nice!

[thelastcipher]

is differential calculus centered on infinitesimal changes? so calculating as dG(x) and dH(x) gets larger would not be considered doing calculus..?

[谢佑仁]

Just found this video and it has proven to be a tremendous help to me. Huge thanks for your effort! :)

[Throwingness]

Thank you for this. Just what I needed.
Is this the chain rule used in back propagation for deep learning?
I'm trying to break into deep learning and my math skills are lacking.
If it isn't the same process as changing the weights of artificial neurons could you do a video that does, with visualizations?

[AJ-etvf]

Awesome! Spectacularly nice and intuitive!

[FaizanJatala]

Its really a very nice channel...I appreciate you..! and you should be more popular than you are..!! I request you to make some videos on OPTICS.