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!
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.
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!
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!
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!!!!
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.
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.
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 💕💕💕
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 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.
this concept was explained in a complicated way in clacalus book but ur practical explanation cleared that complicated explanation thank u soooooooooo muchhh
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 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 😀
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.
![[UNCUT] ฝันรักห้วงนิทรา | EP.9 (3/4)](http://i.ytimg.com/vi/ikd1tEhXbp8/mqdefault.jpg)
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!
meanwhile, me who can't even spell her own name while spelling her father's name out loud
tale*
she literally spelled it out loud too
This video has to be the best explanation of the Gradient in TH-cam, well done!
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!
Thank you for those kind words!
Haha! The "Is that middle earth? I don't know" remark had me cracking up! Thanks so much!
Thank YOU, Alex!
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.
+Scott Kelly Thank you, I appreciate that!
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!
Thank you!
Beautiful! So simple, yet so useful.
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!
You are welcome!
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!!!!
Thank you!!
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
This is amazing. I wish this channel had more videos on multivariable calculus.
Thank you!! I've been working on other videos, but will try.
Wow! I'm impressed! Great intuitive explanation! Thank you very much for your effort!
Thank you, Evelina.
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.
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.
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.
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.
I'm happy to hear that!
thanks, now i see that the vector can be used in a parmetric equation. that helped a lot.
clearly one of the best video( maybe the best) about these topic. Appreciated!
Thank you very much!
Wowww!! It's so fascinating. Thank you for being my savior in Calculus!
Thank you!
Enlightening from start till end. Unbelievable! Great graph too.
Thank you so much for your kind words!
It's Very helpful. Thank you 😀
You did a wonderful job! Great clarity!
+Nicholas Van Nest Thanks so much!
OMG you are so good at what you do ! it instantly made sense. TYYY.
Thank you SO much!
This was amazing. Eyes officially opened
Thank you!
Briliant! Clear and informative! Thank you
Thank you!
Incredible explanation!
Thank you so much!
Thank you so much, Rhonda! Finally a wonderful explanation to the concept. Good job! :)
+Japjee Kaur Thank YOU, Japjee! I appreciate that.
very well done. concise. thanks.
I was so confused on this until this video, thank you so much!
Thank you!
Beautiful!!
Thank you so much!
Thank you so much Ms Rhonda!That was extremely helpful!
You are very welcome.
very informative lesson, thanks
Such an amazing explanation! Thank you!
You are welcome!
One of the best explanations out there. Thanks
Thank you so much!
freaking genius!
Thank you so much!
Great approach to deriving it!!! I hadn’t seen it done this way. Very easy to remember.
Thank you very much!
Vielen lieben Dank! Sie haben echt gut gemacht! :D
The Perfect Explanation!!!!! :)
+Harsha Vardhan Wow, thank you!!
Great video, very helpful!
+Aaron Cheong Thank you!
Beautifully proven, took my breath away!
Thank you so much!
by far the best video I've found on this topic.
Thank you so much!
Best explanation of directional derivative, now I actually understand what the directional derivative" means.Thank you
Thank you!
Just the best!
Thank you so much, Marcio!
Thanks Rhonda, you are a life saver
You are very welcome.
You are better than my professor. 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 💕💕💕
Thank you so much!
Very kind of you to share that! Thanks a lot!
You're welcome!
this somewhat also gives an intuition about directional derivatives being generalisation of partial derivatives .
I CANNOT THANK YOU ENOUGH.
You're welcome!
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.
Thank you, CardiganBear!
Very helpful, and the drawing explaining the two partial derivatives was also very clear. Thank you.
You're very welcome.
This was very useful. My understanding on calculating the Jacobian matrix over multidimensional planes has improved ;)
Thanks so much!
Finally found a tutorial which rocks
Thank you so much!
Simple and intuitive explanation. Thanks!
You are welcome!
Awesome.... impressive..... to the point.....I can't even imagine to find so much explanation anywhere
Thank you!
I'm amazed! Thank you!
You're welcome:)
@@rhondahughes9648 why you stop making videos.
Ms. Hughes! fantastic video! you give concise, intuitive, and rigorous explanations! we'd all like to see more from you! thank you!
Thank you very much, Isaiah!
Great video!! You really bind the concepts together well!
Thank you!
Happy Birthday!
The best explanation I found on the net
Thank you so much!
Excellent video...Very helful
+Dr. Raj Nandkeolyar Thank you!
Thank you. I love your videos.
Man i Spent hours on youtube, trying to understand this, Finaly i can see where this was coming from, thank you very very much.
Thank you, Hesoka!
This was extremely helpful
Thank you!
Loved the middle earth reference.
Thank you!
Such an simple equation, yet so useful! Excellent derivation, thank you!
Thank you!
@@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.
you are such a lifesaver
Thank you!
Awesome. ❤️❤️❤️
Thank you very much!
Amazing video thank you!
+Martin Coourage Thank you!
Thank you Rhonda! This will help me in understanding the concept much better 😊.
+Vikas Sharma You're welcome, Vikas.
You are amazing!
Thank you so much.
You're a great teacher
Thank you, Vikram.
Thx so much. Awesome explanation!
You are very welcome!
Mam please upload some more videos on calculus.
Finally I understood their geometrical meaning..
Mam thanks a lot, you are doing a great work!!
+Rashmi singh Thank you!
You are amazing!!! thx so much! gracias
De nada.
Wow, such a clean and interesting presentation of the topic. Helped me clear a lot of confusion. Thank you so much!
+Lee Sze Foo Merci!
The best video I have seen
What a beauty
Thank you very much!!
Great explanation ma'am. I wish my economics teacher taught as wonderfully as you do. Lots of admiration!!!
Thank you very much!
This is yet the best video I've seen on TH-cam explaining Directional and Gradient derivatives. Please make more future posts.
+Richard Li Thank you! Working on it:)
Great job
You opened my mind, now I can understand very profound this topic!!
Thank you Rhonda :)
Thank you for your kind words, Jahan!
Thank you so much, Jahan! I appreciate your comment.
When someone asks me “why?” I always respond with “y_0”.
Best explanation of directional derivative. Thank you. Please post more videos on multi variable calculus.
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
Thank you! Glad it helped.
this is very intuitive!!! thank you very much!!!
You are very welcome!
this is what I've been looking for. thanks :)
I'm happy it was helpful!
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 😅
Not "click bait." This was an entry to the Khan Academy Talent Search several years ago.
It would be great if you make a playlist for Multivariable Calculus :)
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 😀
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.
Thank you! That is quite a compliment.
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
Thank you so much!
Nice video, somehow I could get my intuition only after watching this video. thanks a lot rhonda
You're very welcome!
hope you plan on making more videos :)
u r awesome
Thank you so much, Omkar!
Awesome maam
Thank you so much!
Best explanation of the subject.!
Thank you so much!
Thanks very much!
very clear and useful. Thank you!
Thank you!
Thanks 💕💕💕
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.
+Taahir Bhaiyat Thank you so much, Taahir! Good luck with the rest of your math!
Who doesn't like stories?! Very well put. I now see how everything is linked together. Especially the gradient for vectors in physics =0
+Justmetmt24 Thank you very much!