Differentiation - Product Rule (and Quotient Rule)

The product rule is one of the most useful tools for differentiating functions multiplied by other functions. This beautiful rule allows us to differentiate a practically infinite number of functions! We also take a deep dive into the quotient rule which allows us to find the derivative of functions divided by other functions! You don't wanna miss this!

Timestamps:
0:00 - Intro
0:40 - The Product Rule
1:12 - Examples
2:25 - Product Rule in dash (Lagrange's) Notation
3:07 - Extended Product Rule
4:36 - Quotient Rule
5:55 - Differentiating tan(x)
7:09 - Proof of the Product Rule

[Bitmaker]

holy shit, this genuinely feels so obvious now that you explained how it works, but this is literally never clicked for me. I am the definition of mnd blown rn.

[aleenavirdee]

Amazing video, really like how you break down the explanation into chunks and demonstrate with different colours and excellent animation 😃 Thank you!! 🙏

[aaronnanoo]

Proof for the quotient rule, really increased my depth of understanding! Thanks for the great video

[TheHashCam]

Awesome, thanks so much! My teacher at school was rubbish at explaining this but you’ve really helped.

[JASPREETKAUR-eooe]

Comprehensive and very helpful.. looking forward to seeing more videos.

[rohanmisra]

Great video- very clear and easy to follow!

[sukhibhamra]

You are a Genius 👍🏻keep going well done ...

[amybajwa]

Really clear and helpful video - thank you! ☺️

[Ndnart]

Amazing, sir we want more videos like this❤

[shashwatkhurana]

dont stop !!!!
an awesome channwl in the making !!!
what software are you using ?

[karimjanmohamed]

Thanks so much - really helped me out!

[thomasluo]

Thanks a lot. I figure out finally by your amazing video👍

[mahmoudelnaggar]

Keep going man, why the latest video is 1 year ago!?

[mukhtaarjaamac]

Quotient rule proof all others 3blue 1brown discovered