Big picture of Total Differential and Chain Rule

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the Penguin Lectures on Mechanical Engineering

2 жыл бұрын

You might have heard that total differential means
how much you go up on a mountain.
Would you like to know the reason?
You might have differentiated by using the chain rule
at an exam in the university.
Why can we differentiate like that?
Do you have a clear image on chain rule?
If you have these questions, this video will help you.

Пікірлер: 15

@5gallonsofwater495 4 ай бұрын

Had to sit down and think for a good 20 minutes just to get what you were saying about total differentiation... I will confirm, one of the most unexpectedly climactic moments ever, thanks for the video Sir!

@shaessi 3 ай бұрын

Now I understand what I taught in class yesterday! Thank you so much.

@krutarthparikh4366 2 жыл бұрын

Thank you so much for explaining in this way. That actually helps understanding what exactly the end result of a TD means.

@bradleygaddis5155 2 жыл бұрын

Wow,...clears up so much confusion!!! Keep up the good work!!! Thank you!!!

@ahmedalmuhanna5801 Жыл бұрын

Thank you! You made everything clear. Hope to see more video like this!

@pedrocolangelo5844 5 ай бұрын

Thank you so much for such a valuable video. By the way, your choice for the soundtrack was amazing, it somehow makes it easier to understanding by making us less anxious when watching it, lol.

@CompuPhysix Жыл бұрын

Keep up the good work👍

@vincentchong2647 Ай бұрын

Thanks for your eye opening explanation. I wish you have more videos or books on this. btw, is there a typo in 9:37? in vide d(f(x,y))/d(t) = ... + (d()/dY)*(dX/dt), should be (d()/dY)*(dY/dt)?

@gauravbharwan6377 Жыл бұрын

You have the potential to be best maths channel

@japhatkorowa 2 жыл бұрын

Great work.

@mroseleiyud Жыл бұрын

Thank You so much for this! Could you also explain approximating the tangent plane by total differential?

@RicardoFloresRicardo Жыл бұрын

Thank you

@sergiolucas38 Жыл бұрын

good video, youre very didactic

@TJ-hs1qm 8 ай бұрын

At 0:14 in the video, he divides both sides by DT. I wonder why the second term after the plus sign is df/dy*DX/DT instead of df/dy*DY/DT. ...this is clearly a mistake and the second term should be df/dy*DY/DT !!!