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!
Problem Sheet: mathacy.com/videos/differenti...
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
Website: mathacy.com

[@aleenavirdee5656]

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

[@rohanmisra4536]

Great video- very clear and easy to follow!

[@JASPREETKAUR-eo9oe]

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

[@aaronnanoo1887]

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

[@amybajwa15]

Really clear and helpful video - thank you! ☺️

[@TheHashCam]

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

[@DiLLZGFX]

Amazing video ! Learnt so much !

[@zlhertz4075]

Another great informative video. 👍

[@Dinesh123lol]

So helpful, thank you so much!

[@karimjanmohamed3835]

Thanks so much - really helped me out!

[@sukhibhamra5750]

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

[@thomasluo9033]

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

[@jsingh6931]

Thank you great video 👌

[@navneetkaur2445]

Very detailed and helpful

[@VihaanKashyap-qi8he]

dude you are too underrated

[@nikkibhamra7536]

Awesome 👍🏼

[@vidyadharkottisa8367]

Very good explanation

[@mahmoudelnaggar8512]

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

[@shashwat0khurana]

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

[@shashwat0khurana]

Also try giving an intuition bout why this works ;like with the area of a rectangle or other more accurate representations ......

[@Mathacy]

Thank you for the support and constructive criticism! We will take it on board! We use Adobe for most of our videos.

[@shashwat0khurana]

@@Mathacy great !! What country are you based out of ? I'd love to recommend someone for brilliant intuition if you're interested.

[@schee4887]

how is dy/dx of e^x = e^x?

[@harbanskaur460]

Interesting

[@mukhtaarjaamac8763]

Quotient rule proof all others 3blue 1brown discovered