What Does the Gradient Vector Mean Intuitively?

What Does the Gradient Vector Mean Intuitively?

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Thank you:)

[meshkatuddinahammed]

I have struggled so many days understanding graident wrt to machine learning, but now it makes total sense to me. Thannks a lot!!

[marcodigi]

Yes I also would like to know the why . And would you mind doing an intuitive version video of directional derivatives using the gradient ? I really want to understand that one as well . Thank you !!

[xepho]

The best explanation ever on what's gradient vector. Thank you!

[georgiandanciu]

Sometimes the most simple explanations for the most complex things are the best . Cheers!

[rachelgoldeen]

Love it, thanks! Wish I had videos like this back in college 35 years ago, would have cleared up a lot of confusion.

[Festus]

Why is the magnitude of the gradient vector said to be the RATE of maximum ascent? When I see "rate", I think slope. Why isn't the rate of ascent simply the partial of y divided by the partial of x.? Isn't this the slope of the gradient....i.e. change in y over the change in x? What am I missing? thanks

[soheil]

The best explanation I've ever heard, thanks a lot.

[dalisabe]

It does make sense, but for those who are not familiar with the gradient, they need more graphic illustration. Most students including myself were just told that the gradient is a vector that points in the steepest ascent of any 3-D surface and how to compute it given the surface function, but we were never told or shown what the gradient vector looks like any given point on the surface and whether such vector lies in the 2-D or the 3-D space, and why it points in the direction of the steepest ascent. The easiest example was the paraboloid surface. The steepest ascent on any point on the surface is always in the direction of radial away from the vertex. I think the gradient concept needs more illustration and justification. Any video that is proactive that allows for inputting the function, computes the gradient and graphs the gradient might be a good idea. Thanks.

[BinaryCommando]

Thank you! Great help for my vector cal / EM review, especially cause it helps me picture what is orthogonal to it!

[jmsaucedo]

skilled as always, thanks you so much!!!

[akashverma]

Jeff Bezos with long hair is teaching me mathematica.

[medaphysicsrepository]

Immediately googles “rolling plains” bc I’m so cultured.

[nharshithreddy]

this dude's hair style reminds me of sir issac newton

[obzen]

fx(f(x, y)) gives the as fast as possible changing x direction and fy(f(x, y)) gives the as fast as possible y direction and vector of these gradient vector am i correct

[EmpyreanLightASMR]

Holy smokes. Me: *pushes play* You: Hi. *teaches instantly* Me: *begins learning*
No title card or intro to skip. Appreciated!

[propea]

But then when we evaluate it at a given point what does the resultant number say? Is it the total increase in magnitude given that we've moved towards that point?

[diegosanabriafernandez]

and what if the 3d surface is totally flat or if the surface is equally increasing or decreasing in all directions?? does it point anywhere or does it just become 0?

[liftsu]

But why does it do that :( I don't understand the reasoning behind that

[CapiEtheriel]

the explanation is great, but wtf is a rolling plane?

[pseudoswim]

Thank you. My teacher is a potato. This helped