Directional Derivatives | What's the slope in any direction?

[@subse5371]

I'm an undergrad and believe me this is the first time i understood anything about calculus hats off man👍

[@kafuu1]

thats the power of Internet

[@mikzin630]

you made it to calc 3 without ever understanding anything about calculus?

[@shivangsingh5834]

​@@mikzin630😂😂

[@prathikkannan3324]

@@mikzin630 It's easy. You can literally memorize your way through single variable calculus if you are solid in algebra.

[@chetanraina5649]

This is the best explanation of directional derivatives. Please never delete these videos.

[@v-doc5230]

I am a very experienced engineer, studied mathematics in five different lectures, not including mathematic heavy lectures like aerodynamics, gas dynamics, etc. Yet, I never saw it that way. Very well done and informative! Thanks!

[@broqentoys]

self-studying this over the summer.... wish u were my teacher!! thank you

[@gonderage]

Yo, me too!

[@HorizonSpeed26]

doing it over winter. Yes, I am a bit mental.

[@shadabansari9121]

@@gonderage Ya , i long too

[@shadabansari9121]

@SHADAB ANSARI , u 2 :)

[@mosalethoba5267]

He's your teacher thanks to the internet

[@jaydean5243]

Dr Bazett, your videos are incredible , concise , animated, and to the point, VERY well done. I'm a retired pharmacist , in my spare time i try to keep learning advanced math. were I left off with adv calculus , and ODE (1974) . I appreciate all your time and effort THANK YOU....Jay

[@muyloe]

I'm sure this is the millionth time it's been said, but you're single-handedly saving my calculus grade. Cheers brother.

[@DrTrefor]

thank you so much:)

[@nubiairasema7136]

Thank you! I am very happy I came across your videos. Not only do you explain the math behind a problem but the concepts behind them too!!!

[@pultural]

This video was like the last brick in the wall of understanding gradient and partial derivative, that's insane..I get my 'ahaaaa' moment so fast! Thank you so much, also for explaining how we came from limit to composition function and after applying the chain rule to dot product of gradient vector in the point and unit vector!

[@Hinchey613]

The visual explanation up to 2:40 really helped me understand the main concept better.

[@DrTrefor]

Glad it helped!

[@dushyantsengar9381]

Amazing animation at start to show directional derivatives. I have really got a better understanding to how to visualize the directional derivative now. Amazing video..keep up the good work :)

[@MinhLe-se6bs]

Thanks for your explanation. Please never delete this video. You inspire students who want to see the beauty of math. Thanks again.

[@m.haroonlatif]

Some of the videos I just watched them because they were so engaging, despite not being part of my syllabus.

[@yashmohangupta5379]

Holy smokes!!! . how can a student not fall in love with you sir ? . Just struck in awe.

[@siwasoontreerat6125]

Best directional derivative explanation. I once learn this when I was in engineering school but I have no idea what does it mean. Now I clearly understand it. Thank you. ^ ^

[@DrTrefor]

Glad it helped!

[@fraserpye9667]

This man is a genius at geometric intuition for calculus. Help me alot, thank you.

[@walac]

Best explanation of directional derivatives I’ve ever seen!

[@DrTrefor]

Thank you!

[@samyakgupta4301]

Didn't knew that PewDiePie was such a great teacher. Okay sorry. You are awesome Dr. Bazett.

[@squidsword0]

Thank you! Everything feels so complicated looking at the notation from far away, but somehow it becomes so intuitive the way you present it. I feel so empowered right now.

[@jackphelan3489]

Thanks!

[@dianafarhat9479]

All channels explain the concepts, but never solve p-sets and think out loud. Your explanation is amazing, would really love to have such videos.

[@iskur_]

I'm and engineering undergrad and I had no idea how to solve these questions without overcomplicating it until I saw your videos. Really appreciate the videos and how you also talk about the theory behind the equations.

[@ycc_j]

Such clear explanation. I couldn’t understand anything my professor said in class but you made it so easy to learn. Thank you so much!

[@derickblacido2267]

Thanks so much Dr Trefor. I was stumbling on this topic for about a month withouth getting the gist of the formula IN GEOMETRICAL terms. Now I can see ligth in my seemingly enduring night. Greetings from Peru.

[@rockyjoe3817]

I am so happy to see your channel getting the recognition it deserves . You really saved me during university period.

[@SHREYANAND-dn6jc]

I was so confused before this video! you are such a great teacher!

[@arthurbaz2]

I've studied this in Calculus about four years ago, but never actually learned it. This helped a lot, thank you!

[@vahegizhlaryan5052]

Certainly the best explanation of DD I've seen so far) I had several "wow" moments during this video)

[@waqasmuneer7951]

Amazing Dr Trefor. The combo of 3blue 1 brown + Dr Trefor= Mastery of the subject.... No need to go anywhere.

[@effizienzlizenz]

I love your enthusiasm. Calculus is beautiful once one has grasped the logic behind algebraic framing of questions.

[@leadtoexemplify]

Dr Trefor, many will remember you for life time. God bless you.

[@outismind1981]

This is a perfect explanation of what a directional derivative is... wonderful, thanks a lot!

[@tuncerakilli]

Gradient vector is such an awesome property when dotted with u unit vector evaluated at a point on a x-y plane in 3D space! Thanks a lot and much appreciated!

[@user-wu8yq1rb9t]

When I watched your videos, my feeling is changing, and I know why! It's because of harmony! There is a beautiful harmony on your Math and your teaching. I take an oath, Everytime I'm watching your Math at first I enjoyed and then I'm learned. You can change my mood! (It means a lot for me) Thank You SoOoOo Much Teacher ❤️ ((I'm sorry, I forget to say hello !!! Hello teacher))

[@darkphoenix_007]

Amazing Dr.Trefor.. Never imagined the concepts in this way. Please continue making videos. Big fan

[@pipertripp]

pure gold. Great presentation. I'm really enjoying working through all the partial derivative vids in the play list. Reviewing them before moving on to the optimisation videos.

[@Alexanderkermani]

This was a stellar video on a topic that I could not wrap my head around. Thank you.

[@farhansadik5423]

A genius of teaching. You're a special gift to us students, thank you dr. Bazett :)

[@shanmukh3174]

I have never seen this kind of detailed and articulate explanation Thanks a lot sir 🙏

[@blymark83]

This is a wonderful video! The visuals are just about perfect, and your using the chain rule to inspire the dot product formula is quite lovely! As a fellow university educator, I've stumbled upon a number of your videos previously and this is among my favorites! You're providing a significant service to the undergraduate mathematical community! Your efforts are appreciated.

[@DrTrefor]

Thank you so much for your kind words:)

[@a.b.6677]

Wow, brilliant & beautiful, I watched the video 2 or 3 years ago, & I still enjoy going back to it, kudos Professor

[@sudarshanv9797]

This one video cleared all my questions on multivariate calculus

[@Scratch-f3r]

Very well explained with proper intuition with real graphs There was a lot of help while understanding with graph Things get more real and understandable when done with actual graphs

[@danamvenkata]

i have been searching for simple detailed explanation since very long before i found this.... Thank you very much

[@AndyOrtiz93]

This video is INSANE. Learned more from this than a 2-hour lecture from my professor 😭

[@HuanLe-c9c]

I don't know why school doesn't teach this way. They only give a bundle of complex formulas without comprehensive explanations and then assign a ton of tedious homework. Thanks to this 12-minute video and a bit of imagination, I can handle all of it.

[@levimungai1846]

The normal partial derivative is a special case of directional derivatives where you dot the gradient of F with the common unit vectors(i,j,k) or(1,1,1). Your explanation is very insightful.Great video

[@sashamuller9743]

the visuals and your teaching really make it!

[@abdulghanialmasri5550]

You are really one of the best teachers.

[@shuvohasan8223]

You're the greatest teacher I never had... ❤❤❤

[@leadtoexemplify]

I am surprised that only 1.8k thumbs up when 38k people watched it. This video deserves 38k thumbs ups.

[@Inkidinkichi]

I really wished if you were my tutor! Until now I was just memorizing those formulas! Thank-you sir! Love from india!

[@SathanaST]

Wish others that are struggling find this video, Thank you for making the video.

[@praveenbethini7126]

I wish I had a maths teacher like you THANK YOU VERY MUCH 🙏

[@calebmossgrove8022]

As an engineering student who did well in Calc 2. I'm struggling to visualize calc 3 and study for my midterm. This really saved me and it was an amazing explanation. Thanks

[@gabrielcruzati3717]

Man, you are fine. Here in Brazil, this is my calc II :´)

[@felipao2134]

@@gabrielcruzati3717 Em Portugal tb

[@sujal1548]

@@gabrielcruzati3717 I'm guessing it depends on your university because here in Canada, my uni is doing this in calc 2 as well but other universities don't

[@Rwko.]

Yeah ,here in Greece in the particular department im in, multivariable calculus is basically calc ll.

[@nazatkabir3442]

idk why but his way of explaining things is so engaging. it really is amazing 🤩🤩.

[@DrTrefor]

Glad you enjoyed!

[@donlansdonlans3363]

Omg finally I understand this

[@lesorax123]

thanks

[@tanayasharma7776]

the visual explanation helped me a lot ,I'm extremely happy for some reason after watching this video, thanks a lot.

[@arnavbhavsar8567]

Earlier I didn't understand this but now I appreciate how beautiful calculus is

[@mirandagonzalez5586]

Great video. I am watching this during my attempt to stay accountable in my semester during COVID-19 and you are really helping me not only to understand better but also to stay interested in this subject Thanks!

[@subhamadhikari]

The explanation was concise and very clear.

[@sarvanray3971]

Have never seen such a logical explanation.

[@alicebobson2868]

i always come to your channel whenever im stuck on a topic, you have the best explanations ever!!! thanks!

[@anshikatyagi6533]

The animation was amazing and the way u explained was really nice, we are today complaining abt this online education whereas mentors like had been acing this skill since forever, just WOW

[@___SSS___]

Maths is more fun if we can visualise it rather than mugging up formulae . We need teachers like you . 😍😍😍😍😍👏

[@DrTrefor]

thank you!

[@henriquenunes7196]

Thank you. Important stuff made simple by your expert video. Outstanding.

[@jadkhalil9263]

You make calculus easy to understand and fun, keep up the good work!

[@nuthakantirohan4685]

incredible i was strugling to understand this by reading and visiualizing thank u so much nice explanation along with the killer graphics

[@blankspace1959]

amazing content, I always appreciate a skilled mathematician.

[@ayushthada9544]

I had some confusion over differential surface traversal and I ended up on your video. It is a great help. Thank you for posting these amazing videos.

[@abhayranjith]

I wasn't able to understand anything from class for the topic of partial derivatives, but I'm starting to understand now, thanks to your videos

[@ssoomi]

dude you just saved my life. thank you so much 🙏🙏

[@joaomattos9271]

Fantastic way of teaching!!! I recommend the classes here in Brazil!

[@why_are_kishore]

best explanation on directional derivatives

[@nila-333]

I am so happy KZbin recommended me your videos.😊 Lots of love from India 🇮🇳❤

[@cherylzhang1189]

Your diagram was so helpful!! I have been struggling to understand the idea of directional derivatives and this video helped so much!

[@marlorizkalla5889]

So great way explaining this lesson , Very well done prof .

[@asme212]

Very illustrative and visual. Thank you.

[@altaccproxy9890]

Incredible explanation! So detailed and easily understandable!

[@Sancho-t3r]

This vedio is saving my life

[@mooseminddayan4650]

Thank you so much. Your pedagogical skills are top-drawer.

[@DrTrefor]

Glad you like them!

[@irfanelahi1384]

Maza Agiya Bahi sahb❤👍

[@ilong4rennes]

thank you so much for the content. this helps me a lot for my calc 3 class.

[@mirmos]

Thank you for this beautiful advanced explanation. Both animations and expressions were excellent :)

[@jiminmoon6457]

thank you so much! I've been trying so hard to understand the slope of directional derivatives on the graph! This helped a lot!

[@DrTrefor]

Glad it helped!

[@yunhaoli]

It is so clear, thanks so much teacher!!

[@vijaysinghchauhan7079]

Your visuals give life to Mathematical concepts. Question: at around 8:57 is gradient born 🐣 from the Directional derivative?

[@yashodabhattarai4206]

Wow, this is extraordinary explanation 👏👏👏

[@iyadindia862]

I wonder how people used to imagine and read surfaces just seeing the equations in the past and now we are here with animations😍

[@sergiolucas38]

totally masterpiece, making a cool subject even cooler, what a professor :)

[@weekendfriday22]

this helps a lot i am taking calc 3 in the summer in 6 weeks, and basically, i have to study 2 chapters a 2week , these videos help a lot on the question ," why we do this"

[@weekendfriday22]

week not 2week

[@jacobvandijk6525]

Nice combination of graphs and equations. Good stuff!

[@bobbysokhi7296]

Amazing Video ! Supplementing this with my lecture notes ! Thank you professor.

[@dang730]

Sir, you are a genius. Thank you!

[@Junker_1]

Thanks for all this wonderful explanation.

[@rutika17]

Wow🤩 best explanation

[@sumitkumarsahoo7601]

thanks, great intuition great teacher, well done sir

[@xiu8548]

Cool animation!!!!!! I understand it right away! !

[@ghostfrom1950]

such a difficult thing to conceptualize is deserving of such graphics as these. Why do remote learning professors suck so much?? This helped a ton. I was still shaking on my geometric understanding of the partial deriv.

[@LudusYT]

Hey man, I love your videos! Quick question, how do you make those graphs & animations? Python I assume?

[@LudusYT]

Trefor Bazett - Sweet thanks!

[@guitarttimman]

This is a great demonstration. Thank you.