How seamlessly Grant adapts and emulates the step-for-step Sal explanation style when it comes to really explaining the math and algebra down to the most operative level (something Grant usually doesn’t do on his own 3blue1brown channel) just once again goes to show what a ridiculous multi layer genius this man is. I salute you, Sir! You’re a mastermind and a gift to math students all over the world.
I love 3b1b's channel, but I didn't recognize his voice until he said "just a little nudge in the x direction" at 1:09 which is how he explains derivatives in his essence of calculus series on his channel.
I'm taking Andrew Ng's machine learning course on Coursera, and when Andrew showed the equation for gradient descent, I was able to decipher what it meant thanks to Grant's intuitive approach of little nudges and visualization. Thank you Grant!!! You are a phenomenal teacher!
How much do u want sal to know lol. Sal is not a god that knows everything, he can't make thousands of videos for free for you, at any level lol. He must find others who help. This guy is amazing, his technique helped a lot. In fact a new person helps you understand ways in a new idea so it makes a spark. Hence a lot of people like tutors..
@@jaredronning3020 nah i guess s/he was just meant that its okay for sal to take help to peovide free educational videos, s/he was jist appreciating everything sal is doing
@@jaredronning3020 sal has a full BS in mathematics from MIT so idk how he would get that idea. Sal has a BS in Math, BS in EECS, MS in EECS, and an MBA.
I was hoping for a 3B1B video on this topic cuz I don't know anything about it and he explains things really well; needless to say it's a massive surprise to hear him on here! :D
he is just a great teacher ... I was watching his channel (3blue1brown) .. he makes complex things seem simple and intuitive! glad we have him here .. thank you
Aggghhh! I wish you guys would've updated these videos in the beginning of the semester! My eyes had to suffer through Sal's 360p videos... But I do kinda miss Sal's smooth, jazzy voice. Luckily, this new guy get's the point across.
Thank you for sharing the post. It really helped me with my studies in Electrical Engineering. The visual representation did wonders for my understanding of derivatives. :-D
I used to think calculus was hard, now It's super easy, it's advanced geometry and stats that's really hard for me now. but next year I'm taking intro to math stats and some actuarial stats classes so hopefully I'll be able to get that under my belt.
I was just watching one of your (Grant's) videos and I was wondering what happened to the animations and then even more perplexed for a second that this was a Khan Academy video.
Wish we had this back in engineering school, dropped out, now I wipe asses for the man, stay in school kids, Riya I hope you made it... They will be burning this math soon lol jk?? Peace 🕊️
At 8:53 ish. I understand y is a constant in that situation, but how come he leaves it after 2x, and then sin(y) becomes 0? I’m confused on why he took the derivative of it in sin, but left it as just a standalone y after 2x. Is it implied that the y after 2x is really just 1?
It's because (c)' = 0 but (c*x^2) = 2*c*x. It means that if you have alone constant and take derivative of it, you have 0, but if you have variable multiplied by constant, it stays there
It's y What both partial derivatives are doing is treating one dimension as changing, and the remaining as a constant, so that only one of the dimensions have a derivative. For the derivative of x with y constant, you evaluate in relation to x; For the derivative of y with x constant, you evaluate in relation to y. It's nice to notice that you could do the same thing with any number of dimensions, not just two. You isolate one of them at a time and take their derivatives by treating all others as a constant.
Based on the Leibniz notation, is it accurate to say that the derivative of a function f(x) is simply the differential of 'f' divided by the differential of 'x'?
Yes, but you can also say it's the ratio of change in f to the change in x, or the ratio of the change in output to a change in input. Same thing as dividing, but saying ratio is a little more intuitive imo.
This is some valuable content, Im glad that I could just watch this and learn. Question, is partial differentiation similar to implicit differentiation in any way?
Partial differentiation differs from implicit differentiation because it takes the derivative in respect to a certain variable such as x, y, or z while implicit differentiation takes derivatives solely in respect to dx. The purpose of implicit differentiation is to take the derivative in respect to x in an implicit function or functions when the y's are mixed in the equation. Often what differentiates single and multivariable calculus is adding dimensions beyond 2-D. In single variable calculus you are usually solving for x, often the independent variable in your equations.
Watch the big difference in the number of displays betweeen this video and the previous videos! People know when something is usefull and when something is not ;-)
![BLACK BAG - Official Trailer [HD] - Only in Theaters March 14](http://i.ytimg.com/vi/Du0Xp8WX_7I/mqdefault.jpg)
3B1B, The way you say 'Tiny Nudge' is decipherable from the solar system away...Love you man....
Oh, it's that guy??
He's great!
Absolutely great man good content for mathematics love his channel keep it up
ITS 3B1B!???? Thats why his voice is so familiar!
How seamlessly Grant adapts and emulates the step-for-step Sal explanation style when it comes to really explaining the math and algebra down to the most operative level (something Grant usually doesn’t do on his own 3blue1brown channel) just once again goes to show what a ridiculous multi layer genius this man is. I salute you, Sir! You’re a mastermind and a gift to math students all over the world.
7 years later and another electrical engineering uni undergraduate has been saved. +1 for simplicity. Really appreciate it.
Real
Add another EE undergrad for 9 years later vers.
I've learned more from this video than from my teachers a whole semester of uni. Thanks man
I love 3b1b's channel, but I didn't recognize his voice until he said "just a little nudge in the x direction" at 1:09 which is how he explains derivatives in his essence of calculus series on his channel.
I have more examples like this on my channel if you want more practice!
i know a guy that explains things exactly like you. 3b1b, he is a cool guy
Thank you sir..for clarity explanation
He is Grant from 3blue1brown🥴
He worked for this platform before creating his own chamnel
@@muhammadarsamdanish6237 I think that was the point 😂
@@muhammadarsamdanish6237 thank you captain obvious
@@ViratKohli-jj3wj now i understand how virat kohil play balls in exact gap direction
😅😅😅
I'm taking Andrew Ng's machine learning course on Coursera, and when Andrew showed the equation for gradient descent, I was able to decipher what it meant thanks to Grant's intuitive approach of little nudges and visualization. Thank you Grant!!! You are a phenomenal teacher!
I'm taking the same ML course now, which brings me here too :D
I am here for the same reason
same reason!
oh my god the way that all of us are here from the exact same video is insane and needs to be studied expeditiously
math for me now has the same voice as grant Sanderson . Thanks grant for letting your knowledge flow and benefit others . May God be by your side
3B1B you should start your own Math channel, you'll be successful
he is 😌
Hes successful now
@@huzaifaabedeen7119he was before he commented
Why doesn't my calculus professor teach like this? The way you explain certain concepts makes them so easy to understand.
How much do u want sal to know lol. Sal is not a god that knows everything, he can't make thousands of videos for free for you, at any level lol. He must find others who help. This guy is amazing, his technique helped a lot. In fact a new person helps you understand ways in a new idea so it makes a spark. Hence a lot of people like tutors..
Are you suggesting Sal doesn't know multivariable calculus?
Jared Ronning lol, second that
@@jaredronning3020 nah i guess s/he was just meant that its okay for sal to take help to peovide free educational videos, s/he was jist appreciating everything sal is doing
@@jaredronning3020 sal has a full BS in mathematics from MIT so idk how he would get that idea. Sal has a BS in Math, BS in EECS, MS in EECS, and an MBA.
@@ViratKohli-jj3wj ?
15 minutes ago I didn't know what a partial derivative is. But now I do, thanks!
*_Why that 'nudge' feels familiar?_*
Tanishq hmmmmmmmmmmmmmmm
Becoz he's our mentor ,old mentor .I just love him .He's the most beautiful soulful guide of mathematical intuitions yes he's 3b1b
Hahahaaaa
As always, you've taken a subject which haunts some (me, 15 minutes ago), and made it feel intuitive.
I was hoping for a 3B1B video on this topic cuz I don't know anything about it and he explains things really well; needless to say it's a massive surprise to hear him on here! :D
Khan Academy strikes again, another great video. I wanted to refresh my understanding as to why a particular equation in my work is partial.
3b1b ????? Exciting
Where can I see him?
Just face simply
Lol
he is just a great teacher ... I was watching his channel (3blue1brown) .. he makes complex things seem simple and intuitive! glad we have him here .. thank you
you can tell from his voice that he keeps his house spotless
LOL yes 😂😂
explained better than my calculus professor THANK YOU
*the nudge is far too familiar*
Aggghhh! I wish you guys would've updated these videos in the beginning of the semester! My eyes had to suffer through Sal's 360p videos... But I do kinda miss Sal's smooth, jazzy voice. Luckily, this new guy get's the point across.
This new guy has his own channel named 3Blue1Brown
paused at 9:48 for a couple minutes, and played it back again trying to find out why its was sin(y)...
HAHAHA
thank you!!!! 10 minutes to solve hours of doubts from other video!!!!
Am I the one that thought that that parabola was the most beautifully drawn they have ever seen?
FREEHAND
You have incredible teaching skill, when I watch 3blue1brown I can visualize everything, and see the purposes behind every math equation
Thank you for sharing the post. It really helped me with my studies in Electrical Engineering. The visual representation did wonders for my understanding of derivatives. :-D
4:40 This is exactly what I needed to know! ❤❤❤
well, this 10mins video is much better than 10 pages lecture notes and 1 hour lecture lesson from my uni
Thanks so much. I was confused when I cam here. 1)because partial derivatives we confusing me and 2) because your a new voice!!!! °○°
I used to think calculus was hard, now It's super easy, it's advanced geometry and stats that's really hard for me now. but next year I'm taking intro to math stats and some actuarial stats classes so hopefully I'll be able to get that under my belt.
Thank you very much for the video. It was very helpful.
I have more examples like this on my channel if you want more practice!
The guy free-hands the curve perfectly😮
I was just watching one of your (Grant's) videos and I was wondering what happened to the animations and then even more perplexed for a second that this was a Khan Academy video.
This video does introduce partial derivatives to me better than my school.
your writing and drawings are so clean 👌
i love the way you explain things. Makes math so fascinating!!! :D
I am used to Sal's voice. But you explained very well according to me.
So, I like you! And your voice is great as well. Although new.
Freya Saha Sal's voice was a bit deeper and I kinda got attached to that one
Check out 3blue1brown.
fantastic video explanation, very useful for high school mathematics
I have more examples like this on my channel if you want more practice!
@@ConquerTheCurve will surely check it out. If required
This was the perfect explanation for me. Connected a lot of the dots for me. Thank you
thanks, this simple stuff is killin me in physics because I haven’t taken calc 3.
Looking at the angle of transformations the partial derivatives made much much sense
omg i was so confused to hear grant sanderson
loved the explanation!
I have more examples like this on my channel if you want more practice!
Wow understood it so clearly! Thank you🙇♂️🙇♂️
Great Explanation, for any of the concepts, That too free of cost. Thank you, for your efforts. So much respect for you.
Wish we had this back in engineering school, dropped out, now I wipe asses for the man, stay in school kids, Riya I hope you made it... They will be burning this math soon lol jk?? Peace 🕊️
This man is a genius, he made me understand derivates & partial derivates in the same freakin' video. and why you write df/dx !
Loren Toren d(f)/dx is like saying find the derivative of the function with respect to x he cant use y because its already being used as a input
Very nice i want you be read the klma
Thanks very much! so nice explanation!
that helped a lot..thank you
ikr, i've been asking my teachers about it they said you'll this in PhD, i mean this is clearly understandable and helps alot when you solve problems
Yes exactly...i am doing these for the first time and this video really helped me
You are a celebrity in math education on RUclips, 3blue1brown. People love you.
Thank you for the video! All of you friends are super awesome!
Amazing Teacher you are... my salute
Thank you soo much for the explanation. Really appreciate it :)
Thank you, this is really helpful for gradient descent in neural networks.
You should've linked to this in your video about the calculus of it.
so simplicity, much understanding, so awesome😁
I tried to like this video twice❤
Thanku sir... Your all pde vdos helped me alot
3b1b
TIL that 3B1B did videos for Khan Academy.
Very Good Explanation. Thank you!
love our all videos.....your style of initiating
that an amazing explanation! Thank you
Marvellous💯
Thank you for the video:)
Good explanation...Thanks
Good one
I have more examples like this on my channel if you want more practice!
Totally osm explanation thanks alot
wow, this is not even my level and I understood it. tyvm
At 8:53 ish. I understand y is a constant in that situation, but how come he leaves it after 2x, and then sin(y) becomes 0? I’m confused on why he took the derivative of it in sin, but left it as just a standalone y after 2x. Is it implied that the y after 2x is really just 1?
It's because (c)' = 0 but (c*x^2) = 2*c*x. It means that if you have alone constant and take derivative of it, you have 0, but if you have variable multiplied by constant, it stays there
@@cyprianszewczak6943 after since going through calc 3 and currently doing diff eqs, it all makes sense now lol. Thank you for your response!
Its sooo good! Thank you!
Great lecture
Thanks! I missed this class and this video made it so easy to understand '^'
I expected to find a 3b1b. I already knew that 3b1b worked in Khan Academy but I didn't expect to find it.
Thank you very much for this!
Amazing explanation!
Pqp, só entendi oq foi escrito.... Leandro preparando a gente pra vida, you are the best my fresnow
Grand for the win!
Great Explanation
This is actually really cool.
Great. Just great.
Good explanation
Organic chemistry tutor is the King
Thank u so much!
Thank you lot
At 9:03 what value does y take? We take x for the change ratio at a particular input in x direction , but what for y?
It's y
What both partial derivatives are doing is treating one dimension as changing, and the remaining as a constant, so that only one of the dimensions have a derivative.
For the derivative of x with y constant, you evaluate in relation to x;
For the derivative of y with x constant, you evaluate in relation to y.
It's nice to notice that you could do the same thing with any number of dimensions, not just two. You isolate one of them at a time and take their derivatives by treating all others as a constant.
Excellent !
I love your conceptual approach to these problems. Thank you for this.
Based on the Leibniz notation, is it accurate to say that the derivative of a function f(x) is simply the differential of 'f' divided by the differential of 'x'?
Yes, but you can also say it's the ratio of change in f to the change in x, or the ratio of the change in output to a change in input. Same thing as dividing, but saying ratio is a little more intuitive imo.
It's perfect!
thank you !
Oh!! Grant! I recognised the voice. 👏
Thank you
In case you were wondering, 1+cos(2) = 0.583853
well explained my man
This is some valuable content, Im glad that I could just watch this and learn. Question, is partial differentiation similar to implicit differentiation in any way?
I was wondering the same thing!
Partial differentiation differs from implicit differentiation because it takes the derivative in respect to a certain variable such as x, y, or z while implicit differentiation takes derivatives solely in respect to dx. The purpose of implicit differentiation is to take the derivative in respect to x in an implicit function or functions when the y's are mixed in the equation.
Often what differentiates single and multivariable calculus is adding dimensions beyond 2-D. In single variable calculus you are usually solving for x, often the independent variable in your equations.
you're awesome!
thank you so much
Oh, my parallelepiped!
lollll
excellent
Watch the big difference in the number of displays betweeen this video and the previous videos! People know when something is usefull and when something is not ;-)
Your videos are wonderfull. at 10:02, it should be Cos(2).
Just a tiny nudge in time in +ve direction (pun intended) and he corrects it. Please consider watching it!