Higher Derivatives and Their Applications

When we take the derivative of a function, we get another function. So what's to stop of us from taking the derivative of that function? Nothing! If we take the derivative of a derivative, we get the second derivative. And it doesn't stop there. This sounds abstract, but it has tremendous application in classical physics, specifically kinematics.

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[charleshudson]

Position. Velocity. Acceleration. Jerk. Jounce (also called Snap). Crackle. Pop. Higher derivatives have names and are useful in fluid dynamics, cam shaft design, telescope light collection, etc. Any time you need to minimize Jerky motion, Bouncy motion (Hence, Jounce). They are refinements on the subtleties of higher order forces producing variations in accelerations.

[renatosiqueira]

The graph showing position, velocity and acceleration side-to-side is by far the best showing of intuition of differentiation I've ever seen. I couldn't stop analyzing it. Watching your videos I can tell that you actually know what you're talking about and that you like it a lot (unlike my college teachers who simply memorized this from their also shitty college teachers that also probably didn't give a fuck.) At my college classes I memorized formulas ad infinitum, with these videos, I actually understood what's going on behind the scenes. Thanks, Dave! Cheers from Brazil!

[physicsinanutshell]

Professor Dave is the best.... Must get a million subscribers

[crusher]

2:53 I love that you are giving a good example of what we can use it for in other classes and irl. I wish more teachers explained what it is actually used for.

[shahjahanshuvo]

I am Shahjahan from Bangladesh . I am very much benifitted by watching and memorizing these lecture, Professor Dave (sir).

[heythere]

This is the best of entire other videos regarding higher derivatives .

[heythere]

I have been lookin' for this since 2016.

[Kiky_MedPhysicist]

Thank you sir for your dedication and for making this free! 🙏

[mujahidghaboush]

Thanks for all efforts to present science and light away for whom not clearly know about it

[FUNTIME_THEE]

You are the only teachers who teaches all the subjects

[nabeeharehman]

made it so easy. hands down better than school ❤

[anapaola]

I subscribed just bc of that intro lifting up my mood

[orar]

just look video 103( Derivatives of Polynomial Functions: Power Rule, Product Rule, and Quotient Rule) first derivative is d/dx. there is some misunderstandings.

[pighast]

Are these really higher derivatives? I was expecting to see at least d4x/dt4

[melikabashiri]

You just saved me from failing maths 💛

[kiidiii]

I'm used to listening to you and your song at 1.5x and one time I decide to listen to it at 1x it does NOT feel right!

[strictlyunreal]

3:35 Either I don't get something, either the first graph doesn't actually represent position. What is that, an object that leaves one place and returns to the same place? I also don't get how the second graph is connected to the first one. Is it like a vehicle that is reversing, considering we have velocity that is below zero at some point?

[johnkhan]

sir you give a best concept of higher order of derivatives according to physics level but in math the derivative is define as tangential slope then what's the meaning of second derivative and as so on. please guide me

[sameerpokhrel]

Dec 25, 2019, Wednesday, 09:16 pm . It's miracle. 260 likes and 0 dislikes.

[satbirsingh]

I want more videos related To function of maths I very good in maths but my calculation mistakes r feel me baad