What are derivatives in 3D? Intro to Partial Derivatives

Рет қаралды 70,171

Күн бұрын

Imagine walking in only the x or only the y direction on a multivariable function f(x,y). The slope in these directions gives the idea of a partial derivative. It's much like the slope of a single variable function is the derivative, it is just now we have more than one direction we can go to. When heading, say, parallel to the x axis this is equivalent to saying the y is constant. This makes computing partial derivatives easy: just take a normal derivative as if the other variable is contant.
Sorry for the bad audio quality on this one!
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Пікірлер: 88

@arnavbhavsar8567 3 жыл бұрын

Thank you so much for this playlist. It helped me get intuition on my multivariable calculus course

@beoptimistic5853 3 жыл бұрын

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@luisalcaraz9090 Жыл бұрын

Ugh!!!!!!! Where have you been my whole math career!!!! Thank you for the videos

@leronm5039 4 жыл бұрын

Amazing video! We went through this so fast in my Calc III class that I missed the explanation for "what" a partial derivative was completely. This flushes out a lot of everything we learned that built upon partial derivatives!

@beoptimistic5853 3 жыл бұрын

kzfaq.info/get/bejne/jrd5ldFjnMqzmnk.html 💐

@rockyjoe3817 4 жыл бұрын

Amazing work!!! Hope to see you coming with more videos :D

@aaravs524 8 ай бұрын

I love watching this out of pure interest while still taking my high school AP calculus BC course!

@chyldstudios 4 жыл бұрын

The audio was a bit weird at times. Also nice work on the graphics.

@billycheung5114 10 ай бұрын

Very clear and concise

@chiragagarwal1765 2 жыл бұрын

Nice work on the Graphics part sir. Thank you so much for this video. ❤️ From 🇮🇳

@ismailsevimli6424 2 жыл бұрын

Really thanks, it was hard to get the big picture of these subjects by studying from a book.

@pjakobsen Жыл бұрын

Excellent explanation

@ajwadtalks1563 3 жыл бұрын

Wow! Thank you so much.

@ayushkumarsaini8457 2 жыл бұрын

Keep up the good work sir 👏

@MrMarkgyuro 4 жыл бұрын

great explanation! thank you so much!

@beoptimistic5853 3 жыл бұрын

kzfaq.info/get/bejne/jrd5ldFjnMqzmnk.html 💐

@irakperez 3 жыл бұрын

Superb!!

@vaisuliafu3342 4 жыл бұрын

really fantastic quality videos - great job

@beoptimistic5853 3 жыл бұрын

kzfaq.info/get/bejne/jrd5ldFjnMqzmnk.html 💐

@continnum_radhe-radhe 2 жыл бұрын

Thank you sir 🔥🔥🔥

@matthewsarsam8920 2 жыл бұрын

Great video!!

@gijs.5801 9 ай бұрын

You are my hero

@raunitsingh676 Жыл бұрын

helping the algorithm work for my MAN's benefit

@DrTrefor Жыл бұрын

love it:D

@yogesh1px 3 жыл бұрын

U r voice,animation everything is amazing

@DrTrefor 3 жыл бұрын

Thank you!

@shivangsingh5834 2 жыл бұрын

mathmagician !

@chetanraina5649 4 жыл бұрын

Great explanation

@beoptimistic5853 3 жыл бұрын

kzfaq.info/get/bejne/jrd5ldFjnMqzmnk.html 💐

@amansingh-ww2qc 3 жыл бұрын

Love u sir

@ilong4rennes Жыл бұрын

thank you

@items365 3 жыл бұрын

Professor where are you in the video you're presence make your videos from next level(literally i have no words) but i missed you in this video. Love 💝 from india thank you professor.🙏🙏🙏🙏😇😇😇😇❤️❤️❤️❤️❤️

@DrTrefor 3 жыл бұрын

haha technical difficulties on this one:D

@ogunsadebenjaminadeiyin2729 3 жыл бұрын

I ploted the equations on a 3D plot and the differention made meaning graphically as a tangent to the function.

@beoptimistic5853 3 жыл бұрын

kzfaq.info/get/bejne/jrd5ldFjnMqzmnk.html 💐

@stephenbarnard2856 2 жыл бұрын

Not me binging this playlist 2 days before my calc 3 exam

@sanjaisrao484 4 ай бұрын

thanks

@user-dn1wv5qu1i 2 жыл бұрын

Doctor, I ask you to download a video that shows how to find the derivative of two variables of functions using the definition

@dudeguy8864 3 жыл бұрын

good explaination

@beoptimistic5853 3 жыл бұрын

kzfaq.info/get/bejne/jrd5ldFjnMqzmnk.html 💐

@grafzeppelin4069 6 ай бұрын

This video is helpful, but I think you should have provided the actual function for f in this case, and provided the specific number for y_0, say, 5, demonstrated that f(x, 5) is in fact the parabola shown, and then extended it to ask, "Ok, but what if we want to know the slope in the 'east' (x) direction, df/dx, NOT specifically at y = 5, leaving y as "y"?" (Then the same for x_0.) I find that students have trouble perceiving of the notation "y_0" as "a hypothetical constant, instead of a variable" no matter how many times I tell them.

@AshiqMohammed 2 жыл бұрын

If I understood linear algebra right, at 1:39 Shouldnt it be f(x0,z0)? basically hyperplane y0 chops it out thats the constraint/constant for y. Which will leave z remaining. So the function should have z in them. Right?

@moncomptegoogle1379 11 ай бұрын

How do you make such a nice visualization? I mean the 3d with cut shape.

@williamhunt2210 4 жыл бұрын

You could make a partial derivative video on the youtube algorithmn! haha What's the partial derivative of youtube recommendation function with respect to likes / subscriber count / comments / length of video watched. I guess the output would be the total # of people recommended the video out of the total population. I have no clue how you would actually get the data though, but it would be a fun example to just make up data

@StephenzQuintet 3 жыл бұрын

What books will you recommend for Calculas? , your's fan !

@DrTrefor 3 жыл бұрын

Google "Active Calculus" - it's totally free and has calc 1-3

@StephenzQuintet 3 жыл бұрын

@@DrTrefor Thank you , sir

@namex26 3 жыл бұрын

Thanks a lot for this series, really helpful and interesting. The audio is cringy sometimes and its difficult to understand some of the words though.

@DrTrefor 3 жыл бұрын

Thanks! My main camera died on this one hence no visual of me and bad audio, should be a one time thing:)

@rohullahakhlaghy5271 8 күн бұрын

So what I understood is that we should take derivative of the multivariable function separately for every variable. Is that right?

@shubhamsatyaprakash54 4 жыл бұрын

THANKS FOR NOT BEING IN THE VIDEO, YOU ARE QUITE HANDSOME TO KEEP US DISTRACTED WHILE WATCHING YOUR EDUCATIONAL VIDEOS. JUST KIDDING. KEEP ON DOING YOUR NOBLE WORK

@elimarburger1659 4 жыл бұрын

WHY ARE WE YELLING!!!?!?

@MrGarg10may 4 жыл бұрын

only if u were a girl 😂

@shubhamsatyaprakash54 4 жыл бұрын

@@MrGarg10may 😁

@shubhamsatyaprakash54 4 жыл бұрын

@@elimarburger1659 SOME HOW THE CAPS LOCK GET ON LIKE THIS TIME...

@elimarburger1659 4 жыл бұрын

@@shubhamsatyaprakash54 OOOF

@stephanienyberg3641 3 жыл бұрын

What about the gradient vector, how does it look?

@DrTrefor 3 жыл бұрын

I actually have a whole video on this in the calculus III playlist, check it out:)

@SnortsOfHappiness 3 жыл бұрын

Good video and appreciate the visuals. One thing that irked me a bit was you kept saying it's one-dimensional. A plane has 2 dimensions, not one. You can't draw a parabola with only one dimension. Maybe you meant to say that the function is univariate.

@DrTrefor 3 жыл бұрын

There is a distinction between the dimension of the object itself, and the space in which it lives. So if you take your example of a parabola, this is a "one dimensional curve" that is embedded or living within two dimensions. That is, there is one degree of freedom. The term univariate I see what you mean as well, it isn't typically the word that is used here (has a bit more of a statistics flare to it) but you are meaning the same idea.

@AllRounder-jt1pe 3 жыл бұрын

sound was less and we need ur face explaining bt alll awesome

@alibader910 3 жыл бұрын

and how the second derivative will be in 3d? like fxx and fxy for example?

@DrTrefor 3 жыл бұрын

Same sort of idea as from 2D, it's a measure of concavity in those particular directions

@alibader910 3 жыл бұрын

@@DrTrefor i thought that it will be something like that but I couldn’t figure out the difference between fxx and fxy

@culturecreating Жыл бұрын

@@alibader910 do tell me once you get it?

@burhanshah5855 4 жыл бұрын

Which software you use ?

@burhanshah5855 4 жыл бұрын

Trefor Bazett can you provide me some resources where I can learn to animate ? Or if you can make a course where you teach us these techniques ? This helps me very much to grasp the concepts.

@beoptimistic5853 3 жыл бұрын

kzfaq.info/get/bejne/jrd5ldFjnMqzmnk.html 💐