Difference Between Partial and Total Derivative

Books by Alexander Fufaev:
1) Equations of Physics: Solve EVERY Physics Problem
2) Alexander Fufaev and His Never Ending Story:

[touch_detective]

Me in highschool math class: never pays attention
Me in bed at 3am: Yes Derivative is and has always been my passion

[psychoshooter]

and i thought it was just a cooler way to write...

[artey]

Well, in this case the difference is easy: The partial derivative is expected to use sensible notation, whereas the total derivative somehow thinks that y is a function.

[Exist]

I love that this video is so short and yet insightful.

[jacobstarr]

Basically this: if partial, treat all other variables other than the one you’re differentiating with respect to as a constant. If total, differentiate everything.

[DrSmoke]

I needed this video in my Differential Equations course back in 2014. Thanks dude!

[phild]

As a student I loved loved differential and partial differential equations. They were the poetry of engineering. They represented beauty and truth.

[yamatanoorochi]

I only learned about this today and it's not even in my curriculum yet
Excited about that

[jiiyl]

I appreciate the brevity of the video. It takes a while for concepts, even basic ones, to sink in.

[austinburrington]

I’m honestly surprised they never explained this when I took multivariable calculus.

[Husain_bohra]

Okay in simpler terms
Partial derivative differentiates the x term normally but expects every other term to be a constant.

[spaceluke]

super clear and quick explanation + nice little exalple to understand everything. Great video!

[atrandom]

this video gives better understanding.
nice explanation!
thank you so much for clearing all confusion.

[apm]

As I understand it the main motivation behind the difference in notation is that it serves as a preventative against certain careless errors, for example it reminds you that you can't use the two-dimensional version of the chain rule.

[manwork]

Basic stuff but excellent explanation!

[Thedarkknight]

Wow 4 years of engineering and 3 thermo and thermo related modules, and I find out it was that simple

[FreydaStern]

Wish i found the channel when you started 3 years ago, it would have been a huge help to me

[touseefhasan]

Short and precise. Thank you for this!

[Allahu_Akbar_the_one]

Partial differentiation are the mini major bosses you see in games that very scary but easy to beat

[Trooman]

Thanks this helped a lot. I am currently studying Potential energy and Force so this helps a lot in making out the difference between both the types of derivatives