Gradients and Partial Derivatives

3D visualization of partial derivatives and gradient vectors.

[EugeneKhutoryansky]

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[gbin]

Such an amazing and easy to grasp explanation, which universities fail to deliver en masse.

[AoSCow]

Great explanation AND great music!

Hungarian Rhapsody No. 2 for anyone wondering!

[EugeneKhutoryansky]

If you like this video, you can help more people find it in their YouTube search engine by clicking the like button, and writing a comment. Thanks.

[shaileshrana]

I started with studying about Neural Networks, which led me to a Multilayer Perceptron, which led me to the Backpropogation algorithm, which led me to the calculus of gradient descent and it's intuitive meaning, which led me to a doubt, which led me to searching about the meaning of partial derivatives and gradients and that led me to this video and I have finally clarified my doubt. Thank you Dr. Eugene, your videos are amazing.

[eschoufsidali]

simple but very helpful . just five min better then 1 hour of my college talking

[ultravidz]

Beautiful! Every video is a gem. This is what's been missing from the higher education system. I hope you get to a level where you can higher animators (or take volunteers) and blow this thing up to Khan Academy status. I can absolutely see this happening, please keep it up!

[kiranadhikari]

I am really pleased with the way you provide intuition to the mathematics. I always find this helpful.

[atomslaughter]

Your methodology for teaching is very conducive to learning concepts that aren't really all that intrinsically difficult to understand, but that are commonly hard to learn because of the way the information is commonly presented. Good job and thank you!

[Quroe_]

Excellently done! Step by step, and you may have just saved me an hour for grasping a concept!

[jeffgalef]

I've been trying to comprehend the physical intuition for years. Thank you so much!

[EugeneKhutoryansky]

You can help translate this video by adding subtitles in other languages. To add a translation, click on the following link:
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Thanks.

[charliejung]

In the complex world of mathematics, you have helped me understand the gradient. Thanks a lot.

[garvitgoyal]

I am a science student and whenever a I am in trouble understanding a concept I seek help of your videos. Thank you so much. Love from India.

[thecodinghustle]

someone plz give this channel a nobel prize.... they derserve it!

[mechcntr]

This is by far the most intuitive and outstanding explanation of why the Gradient Vector always points in the direction of maximum ascent! Thank you!

[dland]

This really helped me understand the concept of the gradient. I finally understand how the gradient relates to the partial derivatives and why the it points in the direction of greatest increase in z. Thanks for putting it together! What would be super cool would be an animation of the gradient changing along with the x and y components as the dot traversed the surface.

[HarshShah-yttw]

Very well explained, a breakthrough for many who were struggling from long time in understanding the concept. Can't be better than this! Keep it up.

[vladobertic]

Thank you Eugene. You are a true visionary in terms of how using visualization one can give ' real life' and better understanding to the complex math and statistical concepts. Wish I had this available in my college times.

[hectorville]

Elegant and eloquent--the best graphical intuition and explanation on the topic I've seen thus far.