I would like to take a moment and thank the gentleman (Sal I believe) who took the time to make & upload these videos. I've been watching these videos since college algebra and a lot of these videos have helped me SO much. You are the best tutor ever. You are free, explain things extremely well, have a pleasing demeanor, and you're smart as hell. I've never struggled in ANY collegiate course. Hence, I never had to ask ANYONE for help. Then I found myself struggling a bit in Calculus and Pre Calculus, and I was either too proud or too arrogant to seek help. Thankfully, I found these videos and they pretty much help me through all the difficult math courses I'm taking. So, THANK YOU SAL. You are the FREAKIN best!!!
i like how in depth he goes bc instead of just saying "do this and you get this" he explains why it works and the math behind it so it helps me to learn it and make connections
I would like to take a moment and thank the gentleman (Sal I believe) who took the time to make & upload these videos. I've been watching these videos since college algebra and a lot of these videos have helped me SO much.
Somebody *Please* GIVE THIS GUY A MEDAL!!!! .........Sir, there are no words that can justly justify the gratitude I have towards you and all the Khan Academy family for all the effort and real aid you guys give out everyday to people all over the world. I'm currently studying at University in Jamaica; a first year student that just completed his first semester, and thanks to YOU specifically, I flew through Calculus 1 with flying colours...so, all I really wanted to say was thank you. Thank you soo much man. I really really mean that. THANK YOU
IB Calculus test in the morning. And I've had a substitute for the past month. And to top it off, it's the last assignment of the grading period. This video was so helpful! Thanks so much!
This is the first time that i find math interesting and simple!I always hated math but now i understand that i always hated math because my math teachers were so fucking boring!! Love your videos you are a life saver.
i'm a third year engineer student learning diff q and i had forgotten about implicit diffrerention in calc one, much appreciated refresher, thank you, this clears a lot up.
I came here dreading implicit differentiation and wondering if i'd get it. And in the first 2 minutes you had me go "is that it!?". Wish I had you as my lecturer. You'd dispel all my math fears just with your approach. You're really one of a kind. I thank you and please don't stop.
I know that this video is really old, but it has helped me a lot in understanding implicit differentiation. Your videos have really helped me in understanding the concepts from both calculus and linear algebra that I did not quite understand. My professors are good, but it is great to have that extra resource when they are not available.
U are a true genius mentor and a saviour. Thanks you so much for your valuable lessons that have helped me immensely... LOVE YOU! P.S. - And I feel that this channel is so underrated!! This should have at-least 45 thousand thousand million subs.
Khan as opposed to a regular college calc lecture is so much better because of one thing.... EXAMPLES. Fucking hell, my professor lectures gives one example of the easiest problem of the material imaginable and then leaves us with homework with stuff we've never seen before. THANK YOU KHAN
dy/dx = y' d/dx is really just an operator, it just states the derivative in terms of x (but not of what function). If you apply the operator d/dx to the function y you get dy/dx
I'm learning a lot from your videos. Last year i scored 86% on my Standard Level maths exam in the IB. I've decided to go further and do Higher Level maths during the last year at IB. Thank U. I did however find this video in particular very difficult to follow :(.
I think that the formula dy/dx=y(d(ln(y))/dx) should be taught and used widely, because it easily deals with taking the derivative of functions like x^x. It comes from the chain rule and the identity d(ln(x))/dx=1/x. It can be easily used to prove the product/quotient rule and power rule. I don't know who else has stumbled across this, but to me it seems like it should really be a fundamental part of calculus rather than an obscure little trick that no one has ever heard of.
Going back to that side bit you said about the circle, if the gradient function ends up being = -(rcos@)/(rsin@) then it will be = -cot@, am i right? and if so can we say it is true for all circles of radius r, with centre origin? Very interesting btw, love how you promote an intuitional understanding rather than simply stating the rules.
He(Sal) is a genius. He might be a PhD. or something I guess. But he starts it from very basics. In every lecture, he made me feel that he knows only a little more than me.
I'm jumping to the conclusion to guys who understand implicit differentiation can also answer all implicit questions of every girl out there. Very helpful technique right here.
@edwebo No, they are tests created by the College Board (the company who makes the SAT) corresponding to a series of college preparatory courses offered to high school students in the US and many other countries. The test is not for university, although a certain score on the test may qualify for college credit, but those policies are decided exclusively by each individual university.
Would it also be correct if I did this with the y=x^x problem ?: [ln(y)]' = [xln(x)]' 1/y * y' = ln(x)+1 y' = y(ln(x)+1) y' = (x^x)(ln(x)+1) Would this continue to work for other problems or would I get stuck somewhere if I didn't write it down with the dy/dx thing :O?
Thinking about my Calc-II teacher from last semester....yeah pretty much LOL. Always good to come back to stuff that hasn't been used in a bit and come out of left field at yourself with it. Unexpected things are remembered best :P
Mr Khan, you are such a great and talented teacher. Why didn't my professor explain that we should take derivative of y simply because we must apply the same transformation to both sides and to all terms of the equation?
Sorry, but i am a very annoyed with the chain rule not because i don't know how to use it, i do know how to use it but as u said mechanically, what i do not understand is, what is dg/dy and dy/dx in ur example how would you make them the subject and how would this look in terms of a final answer with respect to something? i am probably confusing many people with this question, it makes sense to me but i might be asking it incorrectly..
Imroz zahan Wow, calm down there big guy, this was 4 years ago, i'm in my 3rd year Masters in Theoretical Physics at a London University right now, scoring a first in both my previous years.
Dawid Stasiak Wait, so how did you go from Cal AB to a 3rd year Masters in, not 4 years, but 3 years? As far as I know, anyone who wants to even dream about being a physicist has to take Cal in their first year of undergraduate (usually first semester, if anything). You really mean to say that you covered 7 years of education in 3 years? Try again bud.
I would like to take a moment and thank the gentleman (Sal I believe) who took the time to make & upload these videos. I've been watching these videos since college algebra and a lot of these videos have helped me SO much.
You are the best tutor ever. You are free, explain things extremely well, have a pleasing demeanor, and you're smart as hell. I've never struggled in ANY collegiate course. Hence, I never had to ask ANYONE for help. Then I found myself struggling a bit in Calculus and Pre Calculus, and I was either too proud or too arrogant to seek help. Thankfully, I found these videos and they pretty much help me through all the difficult math courses I'm taking.
So, THANK YOU SAL. You are the FREAKIN best!!!
IKR!!! Couldn't have said it better myself
True but my mushy brain can't process intuition and concepts beyond pre calc level. I am in calculus and feel like I wanna drop out fr
@@yashaswikulshreshtha1588 You can do it. It just takes time. I ended-up getting a B+ in Calculus. And, it was hard for me too.
@@mycommentpwnz I see yeah but it gets toxic when you want to aim for A+ because you need it for financial support.
@@yashaswikulshreshtha1588 Eww. That's pretty gross.
THANK YOU FOR BEING A BETTER TEACHER THAN THE ONES I PAY THOUSANDS OF DOLLARS EACH SEMESTER TO LEARN FROM
Well you just pay them to check your paper and not for learning.
Kriti Priya Sadly that is true, even though it shouldn’t be that way
When Sal is doing the same question for your HW. I FEEL BLESSED.
Or, your teacher is plagiarizing
plagiarizing math equations? I dont think you know how this works.
Dedoria I trademarked "y=x". Like, it's mine now. Don't use it or I'm suing
"It's sometimes fun just to think about things..." - Salman Khan
i really love the fact that you explain the theory behind it. in school we literally got told to 'just put a dy/dx next to it'
zareen same!!
In College this is true. LOL
normally thats wat gr 9,10 or 11 teach, cuz we dont rlly learn the basic foundations of calculus, the teachers just wanna rush the syllabus
your voice is so relaxing yet focusing at the same time
Justin Kolbek , you are gay.
Aw come on
@@imrozzahan7328 y r u gay
i like how in depth he goes bc instead of just saying "do this and you get this" he explains why it works and the math behind it so it helps me to learn it and make connections
Exam is tomorrow.
I'm so dead.
same
Who just liked my comment
Same
Same
So, hows academic life?
"Boy it would be nice to MAYBE eat something.."
Hello 240p, my old friend
The "p" stands for "pal".
Azhar Razak nice to see you here again
Hello 1080p, my old friend
The implicit and explicit analogy is nothing short of pure genius
I would like to take a moment and thank the gentleman (Sal I believe) who took the time to make & upload these videos. I've been watching these videos since college algebra and a lot of these videos have helped me SO much.
Somebody *Please* GIVE THIS GUY A MEDAL!!!! .........Sir, there are no words that can justly justify the gratitude I have towards you and all the Khan Academy family for all the effort and real aid you guys give out everyday to people all over the world. I'm currently studying at University in Jamaica; a first year student that just completed his first semester, and thanks to YOU specifically, I flew through Calculus 1 with flying colours...so, all I really wanted to say was thank you. Thank you soo much man. I really really mean that. THANK YOU
I like how Sal teaches in simple terms while also going into sufficient depth into the particular subject. Great job.
You, my friend, are the integral to my derivative. THANK YOU!!!
Very nice statement. :D
You are absolutely amazing. I have watched your chemistry and math videos and your ability to convey an idea is unprecedented. Thank you, Sal.
IB Calculus test in the morning. And I've had a substitute for the past month. And to top it off, it's the last assignment of the grading period. This video was so helpful! Thanks so much!
All hail khan academy
Jasmine Bethel Hail!
KHAAAAAANNNN!!!!!!!! KHHHAAAAANNNNNN!!!!!!!
This is the first time that i find math interesting and simple!I always hated math but now i understand that i always hated math because my math teachers were so fucking boring!! Love your videos you are a life saver.
you just saved my calculus career. THANK YOU! THANK YOU! THANK YOU!
duuuuuuuuuuuuude the thing you did with "g" finally allowed me to understand this on a conceptual level. You da boss
"I dont want to make my videos long that you get bored." Oh Sal. :)
Hey! How could yo mange so many topics and subjects? Amazing!
i'm a third year engineer student learning diff q and i had forgotten about implicit diffrerention in calc one, much appreciated refresher, thank you, this clears a lot up.
2018 and your videos still helping me
5:36 when you take a girl home and find a bump in her pants
lmao
I came here dreading implicit differentiation and wondering if i'd get it. And in the first 2 minutes you had me go "is that it!?". Wish I had you as my lecturer. You'd dispel all my math fears just with your approach. You're really one of a kind. I thank you and please don't stop.
These videos helped so much after I fell asleep in calculus class!
my cousin suggested this channel and I'm thankful cause I found this. I really need this. Thank you very much for the effort. ☺
Thats exactly what I'm doing
my teacher tried to teach this today and I had no idea what she was talking about. I watch this video and I'm enlightened
Thanks Sal, that was very, very useful. My textbook didn't explain it too clearly so I came here and now I understand it completely.
A nobel prize in peace for bringing peace into the minds of million students by helping them all around the world.
I haven't studied at all, I have a test in one hour, I watched this video and I already understand this lol! God Bless u Khan!
I know that this video is really old, but it has helped me a lot in understanding implicit differentiation. Your videos have really helped me in understanding the concepts from both calculus and linear algebra that I did not quite understand. My professors are good, but it is great to have that extra resource when they are not available.
So I learn the basic concept of Pre-Calc from my teacher, then I completely understand it after I watch these videos. Thank You so much!
Thank you for this!
You are the best math tutor on youtube!
U are a true genius mentor and a saviour. Thanks you so much for your valuable lessons that have helped me immensely...
LOVE YOU!
P.S. - And I feel that this channel is so underrated!! This should have at-least 45 thousand thousand million subs.
Too bad every teacher can't be this thorough. You're awesome man. You make my entire school's math program seem like a joke. Great lessons.
Such a brilliant and logical explanation!!
I'm still waiting for him to say "My name... is KHAN!" :)
Thats rude man!!
Thats rude man!!
He's the great Khan.
Suddenly calculus seems incredibly intuitive! Thanks!
Thank you so much, I was really confused but this helped a lot!
great video. I was stuck on implicit differentiation thank you for this video
THANKYOU SO MUCH, I HAVE A TEST NEXT WEEK AND I WASNT UNDERSTANDING THIS BUT NOW I DO! I LOVE UR WAY OF EXPLAINING CONCEPTS
"Boy, it would maybe be nice to have some food".
Love the analogies.
Why is there not a million views on these videos! Spread the word!
Keep saving lives, Khan Academy.
You, sir, just saved me from failing my calculus exam. You're my hero :)
Awesome videos, your saving my life in Calc BC. Thank you.
thank you very much. you've been a great help
Thank u for teaching me, if it wasn't u i wouldn't understand alot of math and economics questions
"You'd get y squared is equal to, what, 19? Uhm those numbers are weird..." Hahah Sal, you are the man!
when i tell my friends i get math help from youtube, they look at me like i'm crazy, but this is truly very very awesome help/tutoring
Wow this comment is 8 yeaes old
Somewhat helpful. I am going to have to go back to the vid on Exponential properties, However. Thank you, Mr. Khan.
Much appreciation on this. Always had issues with Tangent Lines where I'm just given the equation and a point.
Calculus 1 final in 8 hours... you are saving my life.
Thanks so much. Sharing knowledge like this is a beautiful thing
I have been so lost in my calculus class and finally things are starting to make sense :) thank you! I have a huge midterm next week
Ok n ki h7uujhu7vh h.o9
your a saviour. thanks so much.
Khan as opposed to a regular college calc lecture is so much better because of one thing.... EXAMPLES. Fucking hell, my professor lectures gives one example of the easiest problem of the material imaginable and then leaves us with homework with stuff we've never seen before. THANK YOU KHAN
sir you litterally are my teacher!!
This helped me so much. Thank you
OMG!! Now I understand!! Thank you so much Sal, we love you.
Flipping genius, thank you so much
5:00 onwards was gorgeous... infinitely better than any teacher i've ever had.
dy/dx = y'
d/dx is really just an operator, it just states the derivative in terms of x (but not of what function). If you apply the operator d/dx to the function y you get dy/dx
i am so grateful for the kahn acadamy. thank you for posting videos
thank you !..I finally understand whats going on in class thanks to u :)
Thanks, you've helped me a lot!
1:35-1:55 implicitly stating I am hungry is really neat exampleship :D
Video was made 12 yrs ago . Now helping a small 11th standard student to learn the maths for ai.💙
much better than a lecture.
anyone else just ignore their calc teachers at school and learn from this guy?
shit makes noooooo sense
I hate this so much
Truth
I'm learning a lot from your videos. Last year i scored 86% on my Standard Level maths exam in the IB. I've decided to go further and do Higher Level maths during the last year at IB. Thank U.
I did however find this video in particular very difficult to follow :(.
I think that the formula dy/dx=y(d(ln(y))/dx) should be taught and used widely, because it easily deals with taking the derivative of functions like x^x. It comes from the chain rule and the identity d(ln(x))/dx=1/x. It can be easily used to prove the product/quotient rule and power rule. I don't know who else has stumbled across this, but to me it seems like it should really be a fundamental part of calculus rather than an obscure little trick that no one has ever heard of.
salmon khan!
i appreciate all that you have done.
Going back to that side bit you said about the circle, if the gradient function ends up being = -(rcos@)/(rsin@) then it will be = -cot@, am i right? and if so can we say it is true for all circles of radius r, with centre origin?
Very interesting btw, love how you promote an intuitional understanding rather than simply stating the rules.
Thanks Sir...... the video was very helpful.
He(Sal) is a genius. He might be a PhD. or something I guess. But he starts it from very basics. In every lecture, he made me feel that he knows only a little more than me.
I'm jumping to the conclusion to guys who understand implicit differentiation can also answer all implicit questions of every girl out there. Very helpful technique right here.
@edwebo No, they are tests created by the College Board (the company who makes the SAT) corresponding to a series of college preparatory courses offered to high school students in the US and many other countries. The test is not for university, although a certain score on the test may qualify for college credit, but those policies are decided exclusively by each individual university.
thank you sooo much finally i understood the difference
you are a mazing dude making eveything simple
Would it also be correct if I did this with the y=x^x problem ?:
[ln(y)]' = [xln(x)]'
1/y * y' = ln(x)+1
y' = y(ln(x)+1)
y' = (x^x)(ln(x)+1)
Would this continue to work for other problems or would I get stuck somewhere if I didn't write it down with the dy/dx thing :O?
Thinking about my Calc-II teacher from last semester....yeah pretty much LOL.
Always good to come back to stuff that hasn't been used in a bit and come out of left field at yourself with it. Unexpected things are remembered best :P
Thank you so much!!! i get it now! Calculus is ruining my life this semester!
Mr Khan, you are such a great and talented teacher. Why didn't my professor explain that we should take derivative of y simply because we must apply the same transformation to both sides and to all terms of the equation?
so clear=] keep posting these kind of videos
love your explanation ^^
in the last bit could you raise the lny and xlnx to e to get rid of the ln
Sometimes I wonder what is the point of school when you can learn everything online. lol thank you for taking the time to explain this!
Sorry, but i am a very annoyed with the chain rule not because i don't know how to use it, i do know how to use it but as u said mechanically, what i do not understand is, what is dg/dy and dy/dx in ur example how would you make them the subject and how would this look in terms of a final answer with respect to something? i am probably confusing many people with this question, it makes sense to me but i might be asking it incorrectly..
Dawid Stasiak , No one cares for your dumb question, you are a foolish moron.
Imroz zahan Wow, calm down there big guy, this was 4 years ago, i'm in my 3rd year Masters in Theoretical Physics at a London University right now, scoring a first in both my previous years.
Dawid Stasiak , You are a liar. You are only good at telling lies.
Dawid Stasiak Wait, so how did you go from Cal AB to a 3rd year Masters in, not 4 years, but 3 years? As far as I know, anyone who wants to even dream about being a physicist has to take Cal in their first year of undergraduate (usually first semester, if anything). You really mean to say that you covered 7 years of education in 3 years? Try again bud.
I'm just curious as to how you got an undergrad degree in physics without understanding a fundamental concept in 1st year calculus lmao
Thanks this was super helpful
11:58: You can do it explicitly too. x^x is equivalent to e^(x ln x), so set y = e^(x ln x) and just use product and chain rules.
i never get bored watching ur vids xD
i should be sending my tuition money to this guy!
your great. thank you.
One does not simply get bored with khans video's.
woo midterm tmrw, thanks alot khan!