Mathematicians and physicists use partial derivatives differently. The word partial is sometimes used as opposed to both ordinary and total. In this video, we will explore what the difference is.

This is a follow up to my last video:
   • Ambiguity With Partial ∂ Notation, an...  
which discussed the ambiguity of the partial derivative.
This video was made to address why there is a big confusion to begin with.

Chapters:
00:00 Intro
00:56 Convention M vs Convention P
05:19 Change of Variables (use M)
07:44 Differentials (use P)
10:27 Total Differential and Partial Differential (where P fails)
13:13 Calculus of Variations of Many Variables (Both M and P fail)
18:39 Outro

Music🎵:
Pocket's Lookin' Light - Gareth Coker · Riot Forge    • Pocket's Lookin' Light  
Journey of Wind(Taillteann Theme) - Mabinogi
Unknown Longing - Asher Fulero    • Asher Fulero - Unknown Longing  
Isolated - Kevin MacLeod    • Isolated  
Terran Theme 05 - StarCraft II
Have You Seen 'Em (The Devil With Two Coats) - Gareth Coker · Riot Forge    • Have You Seen 'Em (The Devil With Two...  
Chasin' It - Audionautix    • Chasin' It by Audionautix  
Investigate - BGM President    • [Royalty Free Music] 수사 반장/Investigat...