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!

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

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!

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

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!

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.

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.

Beautiful! So simple, yet so useful.

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

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

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!

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

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!!!!

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

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

Awesome explanation!

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.

It's Very helpful. Thank you 😀

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

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

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

very informative lesson, thanks

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

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 😅

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 💕💕💕

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

You did a wonderful job! Great clarity!

very well done. concise. thanks.

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

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

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

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

The Perfect Explanation!!!!! :)

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

Excellent video...Very helful

This was amazing. Eyes officially opened

Beautiful!!

Great job

Great video, very helpful!

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

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

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.

actually we need two kinds of tutors, the one who teaches us tricks and hacks for solving problems and the other who explains the shit out of it to make it absolutely clear. you madam is the latter one😂👍..

Such an amazing explanation! Thank you!

Make some more videos mam they are helpful for us to understand the concept only 2 video😓

Awesome. ❤️❤️❤️

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

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

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

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

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

Briliant! Clear and informative! Thank you

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

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

I'm amazed! Thank you!

Incredible explanation!

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

Thanks 💕💕💕

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

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

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 😀

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

This was extremely helpful

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

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

Simple and intuitive explanation. Thanks!

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

You are better than my professor. Thanks!

5:12 "Why = Why not?" Sounds about right

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

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

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

One of the best explanations out there. Thanks

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.

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

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

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.

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.

Happy Birthday!

I CANNOT THANK YOU ENOUGH.

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

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?

hope you plan on making more videos :)

thanks a lot ! .. very simple and descriptive ..

The best explanation I found on the net

Awesome maam

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

Very good explanation.

Amazing video thank you!

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

Awesome

Loved the middle earth reference.

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

Finally found a tutorial which rocks

this is what I've been looking for. thanks :)

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

A very good video. I love seeing how everything came to place and we got the formula for directional derivative. Please upload more! 😝❤️

You are amazing!

freaking genius!