14: Directional Derivatives and Gradient - Valuable Vector Calculus 

LEFT HANDED AND BEING A MATHEMATICIAN IS TRULY A GIFT

keep it up, you have a special talent of explaining complex topics with simple terms

i never comment, but i just need to let you know, you literally just summarised into 8 mins, what was two, 1 hour lectures. Thank you and keep up the work good sir! The way you explained it was extremely intuitive.

Thanks so much. Very simple and and great explanation. I’m in a top uni in Egypt and we have a German professor who asks us complex questions to make sure we understand in depth and that video helps so much❤

Nice, simple, and intuitive. Thanks!

Absolutely killed it, great video.

Great explanation! Thank you

That was amazing explanation really thank you

Thank you so much, very clear and concise!

Damn, straight explanation with no “uhms”. How do other people do that

Wow, such a clear and simple explanation!

Thank you for a very clear and straightforward explanation

Cleared my concepts in no time. Thanks a lot.

Dude this is the best video I've seen on this subject. Its so funny cause these 80 year old professors think they're so intelligent but can barely put two comprehensible sentences together. However you did it in 8 minutes. Thanks!

u just made this make sence thank you thank you

This was such a good video

you just earned a happy subscribe Im not even joking you saved my life ,I just turned 15 and studying calculus 3 at home my parent will not get me a tutor and when i reached this it was so porrly expland before i was stuck for days now i understand it and have well moved past it and working on later subtopics in clac 3 like Fubini's theorm .So again thank you soo much 🙏☝☝🙏🙏🙏🙏🙏🙏And i think everyone here can relate to you helping so much

Thank you for not making it complicated.

Your explanation is so clear, thank youu.

it is such an excellent explaination!

Amazing. Masha allah. Can you explain how your thought process work or how you approach problems. So we can follow it and get some good GPA

Correct me if I am wrong ,Directional Derivativ e helps us to calculate the derivative along a vector say r=ai+bj ,iand j vectors are basis vectors ,r vector is given by moving a units along X direction ,and b units along Y direction ,δf/δx gives us how much the function changes per unit length of X ,and δf/δy gives us how much the function changes per unit length of Y, since it has moved a units along X direction the changes the function has undergone in X direction is a(δf/δx) ,similarly in y direction it's b(δf /δy) since the changes are different in each direction shouldn't the changes be a(δf/δx )i +b (δf/δy )j ? What I am trying to say is both δf/ δx; δf/δy are along 2 different direction ,just adding them doesn't feel right,shouldn't we mention i and j vectors along with them

ولك ثانكيو بكد جمالك☹️💔

Very, very clear!

Clearly explained !!

Perfect !

THANK YOU! finally

Thank you so much! But are the contoure lines u?

Thank you

Thanku 🙏sir

excellent

Superb man

1:55 here why multiply why not add? also please explain why a unit vector what happens if we use a non-unit vector? the output of the directional derivative is a scalar value what does that mean what does it tell us?

I have a question, how to achieve an expansion for the floor function?

Wonderful Sir

My god I understood ☺️ Thanks

If we use a vector of big magnitude instead of using unit vector, would the change be accurate?

I have a question, does the u vector in the dot product have to be a unit vector that has square magnitude = 1 or the component of the u vector can be anything we want?

thx man

In 2:40 I think x0 and y0 must be in row vector not column

dig it!

Nice

Dude why do I have the feeling that this guy is left handed...

helal len iyi anlattın

I don't understand why gradient is the direction of maximum change

Why do you write with that hand?

1st