can we all just take a moment to appreciate that she managed to write the word 'gradient' whilst spelling the word 'tail' out loud? this is a talent!

@user-wr8yg8ix6r

4 жыл бұрын

meanwhile, me who can't even spell her own name while spelling her father's name out loud

@nuklearboysymbiote

4 жыл бұрын

tale* she literally spelled it out loud too

This video has to be the best explanation of the Gradient in KZread, well done!

@rhondahughes9648

2 жыл бұрын

Thank you so much!

Wow, it's a standing ovation!! Having watched all the great content available now in 2022 on this topic (3b1b, Grant's explanation in Khan academy and others), I still couldn't get why directional derivative can be expressed by gradient and dot product.. I mean, it certainly makes sense as a vague statement, it has an intuitive support, but I couldn't get it rigorously, including how it can be derived purely in terms of definition of derivative. And now finally it's crystal-clear!

@rhondahughes9648

2 жыл бұрын

Thank you for those kind words!

Haha! The "Is that middle earth? I don't know" remark had me cracking up! Thanks so much!

@rhondahughes9648

7 жыл бұрын

Thank YOU, Alex!

Beautiful! So simple, yet so useful.

2:57 When she said "at any rate..." I immediately thought of professor Herbert Gross (an extraordinary MIT math educator from the 1960's). I like Rhonda's style and pace of teaching, it's almost like a conversation. Best wishes!

@rhondahughes9648

4 жыл бұрын

Thank you!

I see you just made this video a few months ago. I hope you make some more videos. This was the best youtube video on any topic on Calculus I have watched. I find that most videos rush into an example or start off a concept slow and when it gets to the abstract part speed it up. This one stays consistent throughout and maybe even slows down to help the viewer. This was just great.

@rhondahughes9648

8 жыл бұрын

+Scott Kelly Thank you, I appreciate that!

Amzing Video. In my Calculus 1 class we've jumped from Integration techniques to the gradient vector and multi-variable chain rule - simply being taught the equations with no background on what we're actually doing. This video answered the majority of my questions.

Thank you very much for your video, Rhonda! It’s been a very long time ever since I first studied it, and I can tell you this. Despite all fashionable, computational stuff of our days, there’s nothing like the old school way to learn calculus! You covered the whole package in 14 minutes. Thank you again!

@rhondahughes9648

2 жыл бұрын

You are welcome!

I hope to see many more videos from you. I had a hard time seeing the difference between the two but those days are long gone. Thanks again

Not even halfway through the video and I already feel like it all makes sense. By far the most helpful video I've watched on any multivar topic. Thank you SO MUCH!!!!

@rhondahughes9648

5 жыл бұрын

Thank you!!

thanks, now i see that the vector can be used in a parmetric equation. that helped a lot.

Enlightening from start till end. Unbelievable! Great graph too.

@rhondahughes9648

3 жыл бұрын

Thank you so much for your kind words!

I solved an entire problem set of directional derivatives but didn't really know what they were about. This video helped me understand. Thank you.

Wowww!! It's so fascinating. Thank you for being my savior in Calculus!

@rhondahughes9648

4 жыл бұрын

Thank you!

This is amazing. I wish this channel had more videos on multivariable calculus.

@rhondahughes9648

6 жыл бұрын

Thank you!! I've been working on other videos, but will try.

I was hopping from one video after the other on youtube to find the difference between DD and Gradient, My journey has come to an end. Thank you madam/miss.

@rhondahughes9648

6 жыл бұрын

I'm happy to hear that!

clearly one of the best video( maybe the best) about these topic. Appreciated!

@rhondahughes9648

7 жыл бұрын

Thank you very much!

Wow! I'm impressed! Great intuitive explanation! Thank you very much for your effort!

@rhondahughes9648

8 жыл бұрын

Thank you, Evelina.

@mateennaser5347

7 жыл бұрын

Please Miss Rhonda could you help me?I need your help, please if I could contact with your e-mail. My e-mail is (matalaubidy@gmail.com). Thanks.

OMG you are so good at what you do ! it instantly made sense. TYYY.

@rhondahughes9648

2 ай бұрын

Thank you SO much!

very well done. concise. thanks.

I just can't think you enough ma'am, it's amazing, the relationship between directional derivative and gradient is just amazing, I'm just overwhelmed by the beauty of mathematics and teaching 💕💕💕

@rhondahughes9648

Ай бұрын

Thank you so much!

Best explanation of directional derivative, now I actually understand what the directional derivative" means.Thank you

@rhondahughes9648

4 жыл бұрын

Thank you!

Awesome explanation!

very informative lesson, thanks

Great approach to deriving it!!! I hadn’t seen it done this way. Very easy to remember.

@rhondahughes9648

6 жыл бұрын

Thank you very much!

Beautifully proven, took my breath away!

@rhondahughes9648

3 жыл бұрын

Thank you so much!

It's Very helpful. Thank you 😀

this somewhat also gives an intuition about directional derivatives being generalisation of partial derivatives .

This was amazing. Eyes officially opened

@rhondahughes9648

4 жыл бұрын

Thank you!

You did a wonderful job! Great clarity!

@rhondahughes9648

8 жыл бұрын

+Nicholas Van Nest Thanks so much!

Briliant! Clear and informative! Thank you

@rhondahughes9648

4 жыл бұрын

Thank you!

Very helpful, and the drawing explaining the two partial derivatives was also very clear. Thank you.

@rhondahughes9648

5 жыл бұрын

You're very welcome.

This was very useful. My understanding on calculating the Jacobian matrix over multidimensional planes has improved ;)

@rhondahughes9648

5 жыл бұрын

Thanks so much!

Such an simple equation, yet so useful! Excellent derivation, thank you!

@rhondahughes9648

Жыл бұрын

Thank you!

@johnholme783

Жыл бұрын

@@rhondahughes9648 Your welcome! Hi Rhonda; I’m currently studying physics at degree level and I was wondering if you could recommend a maths textbook, preferably an illustrated one for physics at this level. Regards John.

Incredible explanation!

@rhondahughes9648

5 жыл бұрын

Thank you so much!

Thank you so much, Rhonda! Finally a wonderful explanation to the concept. Good job! :)

@rhondahughes9648

8 жыл бұрын

+Japjee Kaur Thank YOU, Japjee! I appreciate that.

Thank you so much Ms Rhonda!That was extremely helpful!

@rhondahughes9648

6 жыл бұрын

You are very welcome.

One of the best explanations out there. Thanks

@rhondahughes9648

5 жыл бұрын

Thank you so much!

Thanks for this very nice explanation of the directional derivative. I really like the way you start with this concept and then (in the following video) move on to show that the directional derivative has a maximum value when it is parallel to the gradient.

@rhondahughes9648

7 жыл бұрын

Thank you, CardiganBear!

Man i Spent hours on youtube, trying to understand this, Finaly i can see where this was coming from, thank you very very much.

@rhondahughes9648

6 жыл бұрын

Thank you, Hesoka!

I was so confused on this until this video, thank you so much!

@rhondahughes9648

3 жыл бұрын

Thank you!

They way you expressed the concept is the way we wanted, it is the way which fulfill our thirst and remove headache, diabetes and pregnancy.

@rhondahughes9648

4 жыл бұрын

Thank you! That is quite a compliment.

Ms. Hughes! fantastic video! you give concise, intuitive, and rigorous explanations! we'd all like to see more from you! thank you!

@rhondahughes9648

6 жыл бұрын

Thank you very much, Isaiah!

Awesome.... impressive..... to the point.....I can't even imagine to find so much explanation anywhere

@rhondahughes9648

6 жыл бұрын

Thank you!

Thanks Rhonda, you are a life saver

@rhondahughes9648

3 жыл бұрын

You are very welcome.

by far the best video I've found on this topic.

@rhondahughes9648

6 жыл бұрын

Thank you so much!

Best explanation of directional derivative. Thank you. Please post more videos on multi variable calculus.

@rhondahughes9648

3 жыл бұрын

Thank you!

Excellent video...Very helful

@rhondahughes9648

8 жыл бұрын

+Dr. Raj Nandkeolyar Thank you!

You are better than my professor. Thanks!

This is yet the best video I've seen on KZread explaining Directional and Gradient derivatives. Please make more future posts.

@rhondahughes9648

8 жыл бұрын

+Richard Li Thank you! Working on it:)

Beautiful!!

@rhondahughes9648

4 жыл бұрын

Thank you so much!

Mam please upload some more videos on calculus. Finally I understood their geometrical meaning.. Mam thanks a lot, you are doing a great work!!

@rhondahughes9648

8 жыл бұрын

+Rashmi singh Thank you!

Loved the middle earth reference.

@rhondahughes9648

10 ай бұрын

Thank you!

Such an amazing explanation! Thank you!

@rhondahughes9648

5 жыл бұрын

You are welcome!

freaking genius!

@rhondahughes9648

2 жыл бұрын

Thank you so much!

I want to say big thanks for explaining this concept in a super clear and intuitive way! Could you please make a video, or explain, on covariant derivative, connections, and the relation of these two concepts with gradient and direction (Lie) derivative? Thanks 😀

This was much better than the video that they had on Khan Academy. At first i was upset that she named it the way she did, but after watching, i was glad that i was “click-baited” into watching this video 😅

@rhondahughes9648

4 жыл бұрын

Not "click bait." This was an entry to the Khan Academy Talent Search several years ago.

Wonderful explanation just using marker and board.. Teaching Mathematics is an unique talent, not everyone can do that. Thank you..

@rhondahughes9648

Жыл бұрын

Thank you so much!

Very kind of you to share that! Thanks a lot!

@rhondahughes9648

7 жыл бұрын

You're welcome!

Who doesn't like stories?! Very well put. I now see how everything is linked together. Especially the gradient for vectors in physics =0

@rhondahughes9648

8 жыл бұрын

+Justmetmt24 Thank you very much!

Great explanation ma'am. I wish my economics teacher taught as wonderfully as you do. Lots of admiration!!!

@rhondahughes9648

6 жыл бұрын

Thank you very much!

Thanks for this video. Was finding bit difficulty in this topic but this video gave gave me that Epiphany and then I was satisfied ❤️❤️😭😭😭thank you

@rhondahughes9648

3 жыл бұрын

Thank you so much!

I'm amazed! Thank you!

@rhondahughes9648

7 жыл бұрын

You're welcome:)

@CR_07770

3 жыл бұрын

@@rhondahughes9648 why you stop making videos.

Thank you Rhonda! This will help me in understanding the concept much better 😊.

@rhondahughes9648

8 жыл бұрын

+Vikas Sharma You're welcome, Vikas.

Vielen lieben Dank! Sie haben echt gut gemacht! :D

Thank you. I love your videos.

Finally found a tutorial which rocks

@rhondahughes9648

3 жыл бұрын

Thank you so much!

Just the best!

@rhondahughes9648

6 жыл бұрын

Thank you so much, Marcio!

The Perfect Explanation!!!!! :)

@rhondahughes9648

8 жыл бұрын

+Harsha Vardhan Wow, thank you!!

You opened my mind, now I can understand very profound this topic!! Thank you Rhonda :)

@rhondahughes9648

6 жыл бұрын

Thank you for your kind words, Jahan!

@rhondahughes9648

6 жыл бұрын

Thank you so much, Jahan! I appreciate your comment.

Wow, such a clean and interesting presentation of the topic. Helped me clear a lot of confusion. Thank you so much!

@rhondahughes9648

8 жыл бұрын

+Lee Sze Foo Merci!

Hi Ronda. I really appreciate this video, as my engineering maths lecturer admitted that she could not explain the concept of directional derivatives, however, she did just show us the method of computing it. I now properly understand what's going on, and once again, I'm loving calculus! Thank you so much.

@rhondahughes9648

8 жыл бұрын

+Taahir Bhaiyat Thank you so much, Taahir! Good luck with the rest of your math!

Simple and intuitive explanation. Thanks!

@rhondahughes9648

7 жыл бұрын

You are welcome!

Your videos are awesome! Appreciate them a lot :) Sad I didn't find it earlier, cause that could've help in my multvar class. Would you mind a question? I has taken this class just a couple of months ago, however, now when I am in my PDE class, I realized a lot of what I was hoping is in my head solidly, is actually not XD. How do you "keep it" for years?

@rhondahughes9648

4 жыл бұрын

Thanks you! I was the same way. But after many years, I can't seem to get it out of my head. It's just there, comfortable and a source of pleasure.

Great video, very helpful!

@rhondahughes9648

8 жыл бұрын

+Aaron Cheong Thank you!

I CANNOT THANK YOU ENOUGH.

@rhondahughes9648

5 жыл бұрын

You're welcome!

Great video!! You really bind the concepts together well!

@rhondahughes9648

7 жыл бұрын

Thank you!

this concept was explained in a complicated way in clacalus book but ur practical explanation cleared that complicated explanation thank u soooooooooo muchhh

@rhondahughes9648

7 жыл бұрын

Thank you! Glad it helped.

Happy Birthday!

Thanks so much for your teaching, it really helps me a lot! Salute! And hope for your future classes in KZread~

@rhondahughes9648

2 жыл бұрын

Thank you so much!

When someone asks me “why?” I always respond with “y_0”.

It was little bit tough to understand at first but it's amazing... Whole concept is crystal clear now ... THANK YOU SO MUCH...🙂

@rhondahughes9648

5 жыл бұрын

Excellent!

In short, the well-known partial derivate (in some point P) is just a special case of the directional derivate, using the standard-basisvectors as unit-vectors.

@rhondahughes9648

4 жыл бұрын

Precisely!

The best video I have seen What a beauty

@rhondahughes9648

6 жыл бұрын

Thank you very much!!

Great job

Maybe i missed something, but at 12:30, in df/dt, why did we added the the two paritals together? Where does that come from?

It would be great if you make a playlist for Multivariable Calculus :)

The best explanation I found on the net

@rhondahughes9648

3 жыл бұрын

Thank you so much!

Please upload more videos on multivariable calculus.

you are such a lifesaver

@rhondahughes9648

2 жыл бұрын

Thank you!

This video is amazing,but could you make another one explaining where the formula for the multivariable chain rule came from?

Awesome maam

@rhondahughes9648

7 жыл бұрын

Thank you so much!

hope you plan on making more videos :)

You're a great teacher

@rhondahughes9648

5 жыл бұрын

Thank you, Vikram.

Awesome. ❤️❤️❤️

@rhondahughes9648

7 жыл бұрын

Thank you very much!

Thx so much. Awesome explanation!

@rhondahughes9648

7 жыл бұрын

You are very welcome!

Nice video, somehow I could get my intuition only after watching this video. thanks a lot rhonda

@rhondahughes9648

5 жыл бұрын

You're very welcome!

Geometrical interpretation superb,

@rhondahughes9648

2 жыл бұрын

Thank you!

@venur9789

2 жыл бұрын

@@rhondahughes9648 , one small doubt , when gradient F dotted with unit vector what will happen to gradient F? gradientF is a vector function right, that logic till now i didn't get.

I need a lecture on Open set in differential geometry Or Continuous mapping in differential geometry