online classes is hard without proper teaching, thank you Nancy! i love how you explain every step of the way no matter how obvious it is because sometimes they can be missed out.
U try having a teacher that barely speaks English, try and record videos with a cheap mic, and literally only reading off notes he made, he does nothing else lmao he just reads notes
I originally took calculus 40+ years ago. At 71 years old I started reviewing my calculus so I could learn advance electronics. The book I am using is somewhat confusing and it takes several days of going over what they are trying to explain. Now I came across your videos and the explanations are more clear and easy to understand. Thank you for the help, Nancy. I am looking forward to more advanced topics.
Nancy. I'm a retired engineer and just love studying math and science as a hobby. Your videos get to the point, are clear, concise and packed with information. You have increased my understanding of Calculus. Also love the way you fast forward writing out the details. A great service to those who are studying Calculus. Thank You!
@@vhamemshazlm Your not the only one. There was so little time to study math in school. Now, in retirement, its a nice hobby trying to figure out the mysteries and make some sense of them.
Nancy. Thanks for taking the time to take your time. The biggest problem with seated lectures is that the teacher knows the material so well that they go through it really fast. I never have time to fully comprehend what's going on. Going slow and explaining your steps is so incredibly helpful!
@Chemist Me I know this might be radical to some guys, but she is a well educated woman who has a grand career ahead of her, an MIT grad as well as a UA-cam phenom.
I'm in my 50's now and i've begun to realise that the difficulty in maths arises from failing to remember all the little rules rather than a failure to understand. Nothing in this video was difficult to understand, I would however repeatedly trip up over every little quirk that was highlighted! 😂😂 Thanks Nancy!
Coming back after a year off math to find Math BFF gone was a sinker, you and Khan got me through my first two years distance learning. Thankfully I found this channel and get instant revision in your familiar cool, calm manner and slightly downward sloping, backward handwriting! Please keep up the good work Nancy, for us non-math built people, you are a God send.
Honestly, much of what I've seen from your videos explain and teach calculus better and more concisely than a lot of the instruction I've gotten from college calculus professors. You're a life-saver, Nancy!
I don't understand how my uni profs can take the content from this 14-minute clear explanation, spin it into a 60-minute talk while delivering absolutely nothing but confusion.
I honestly can't thank you enough Nancy. my professor is a small smelly balding man who shows his butt crack every time he tries to reach for the top of the white board, he coughs every 30 seconds (he's a heavy smoker), and he's all over the place, literally making it up as he goes. Your videos are pleasing in every way... perfect audio, great video quality, great examples and a clear purpose to everything you say, do and show! You make calculus stupid easy, because it is. Everyone who thinks math is hard either didn't try hard enough or had a poor instructor.
This is the first time I have seen one of your videos Nancy. I very rarely comment on any videos, but I have to say that I think you are simply amazing! I am sure it must take so much concentration effort, being able to write everything backwards, while still keeping it all together and explaining everything in such a clear and calm manner AND never forgetting to switch between the two colors (every single time!). I have subscribed and am sure to watch your other videos as well as soon as they become relevant during my studies, Thank you so much for preparing and uploading this very professional video, much appreciated!
She's not writing backwards. It's a simple post-editing trick to flip the image. Lots of people doing videos with a clear board these days, so it's a fairly well-known process. Other than that, you're spot on that her video was extremely well-done.
Girl, you rock. I would easily pay to have more of your content about calculus. Most of the classes or books I've been reading overcomplicate much of the content. You teach it using simple terms and language, making it easier to understand. Literally turning water into wine. Thank you
First off, Panty Sniffer is a pervert. Secondly, Nancypi only has a few math videos. I don’t think she can ACTUALLY teach you an ENTIRE grade in these few videos. These videos are meant to help you with your course.
Your calm, clear, step by step explanations helps me calm down and actually pay attention and not worry about missing something. Some instructors talk way to damn fast. Thank you.
You saved me, I have a teacher who I never understand a single word from her and mathematics is my major.. thank you so much, wish you all the happiness !!
I admit NancyPi's math skills are superb.....BUT IS NO ONE GONNA SAY HOW AMAZING IT IS THAT SHE IS WRITING BACKWARDS AND FACING US???? THAT IS TRUE SKILL.
Nicely done, NancyPi. I like that you add points where you see some students get tripped up. I tutor math and will be sharing your videos with students! Thanks!
Thank you, Nancy, for helping me study, and thank you for helping my professor teach. She actually thought your teaching style was wonderful that she listed your video as an added resource to her lecture and text videos. Keep going because I think there are Professors that notice your teaching style is pleasant, so it is possible that a professor recommend that you become part of a university as I professor. I hope that you become a professor, so that you can teach while experiencing benefits that come with being a professor.
Lucid explanation, and great examples!! Watched this a few months ago when helping my kiddo with calculus homework (I have 4 years of calculus classes... 25 years ago and forgot most of the mechanics.) Well, helping her study for AP exam yesterday, implicit differentiation problem came up that she couldn't solve... NancyPi to the rescue again!
Hi Nancy, I hope you read this. You inspire a lot of us, and I hope you could soon make other videos for the Integrals, Advanced Math, and all of those sorts.. You rock! :)
Saw this tuesday for the first time and panicked, read the whole chapter and had no clue. Just watched this for 14 minutes and it's clear as day. Thank you so much!
id rather pay you to teach this than my university. im literally learning NOTHING from the book or professor!! you should have some merchandise to sell or something.
@@braz1080 i make a comment about how i would rather pay someone who does a good job at teaching a subject matter vs paying my university or my professor who doesnt help and you think im a simp? whatever troll. you are watching the video too because you are taking the same class and need the help.
Honestly, just wanted to say THANK YOU! I never understood implicit differentiation from a conceptual standpoint until now! I've always thought it was just something I had to memorize, but this was the first time I understood it intuitively!
Yeah when you she said to take the derivative with respect to "x", meaning just do the power rule, so I am naturally associating the power rule to finding for x first. And then just equal it to dy/dx because we are being "racist" towards y lol
Thank you Nancy so much, I had to stop the video and write this comment only to thank you before I finish watching the video. This was something very difficult for me to wrap my head around it. THANKS MILLIONS. YOU DO AMAZING TUTS.
*will be amusing herself with this during the final on Monday* (in buzz lightyear voice) 'you don't wanna be in the way when my y detector goes off... y'
OMG! Thank you so much, you're such a lifesaver. You went into detail explaining each step as any teacher should. My math professor is horrible at explaining how she do things. She just teaches us as if were already supposed to know the steps.
I appreciate your explanation! I have other video teachers I watch and they do a great job at most things. I'm glad I have found your videos because you provide detailed explanations where others may skip over things they feel are "obvious".
I cant even explain how helpful your videos are!!! I was having a really hard time in Calc this year doing online school. Thank you so much you basically taught me the whole first semester😭😭😭
Thank you very much Nancy!!!! I was able to save about 3-4 hours time just by watching your video. You are a 100 times better than my teacher. Love from India!!!
ive been skipping my calculus classes cause it's so early, which is impossible for me. Glad I have these tutorials to help me understand it 100x times better than what some of my professors ever could
Hello. Just wanted to say your videos are helping me a lot. I’m really struggling in calculus, and your videos help. I was wondering, if you can maybe do a video on particle motion and optimization? Thanks
This girl teaches really well! I love the fast forward button when she is writing on the board. I wish she was around when I had calculus, I probably would have gotten A’s. 😅
Thanks Nancy for the crystal clear presentation. For the example x^2+y^2=36, one would get the same result by rearranging the function as y=sqrt(36-x^2) and take its derivative as usual, non-implicitly because y is singled out on the left. The result is dy/dx=(-x/sqrt(36-x^2), or. -x/y.
I'm taking calculus right now and the only reason I understand anything is because I watch your videos. My professor is good and does a nice job but it just goes totally over my head. Then I come watch NancyPi's videos and suddenly it makes sense. So, thank you Nancy!
the max and min are where the graph of the function reached either the highest or lowest point possible, for example, f(x)=x^2 has a minimum of (0,0) but no maximum because both sides continuously approach positive infinity
Thank you so much for the well constructed video and patient dialogue that walks us through each step! This is very appreciated, you're a great internet teacher!
I wish this was available a few years earlier when i was in calc class. now im sitting here relearning calc right before my FE exam. and the memories of struggles with calc are all flooding back. I find this a lot easier to understand than videos like from Khan Academy.
Now I understand this concept. I did not know y^1 = dy/dx and that is another reason I was getting super confused on this topic. Amazing video. Thank you. It was really helpful.
i grew up dyslexic. wasnt very good at academics. i could barely spell "time" by the time i was 9. i hope that rhymes. but yes i never expected, that back then i would barely be able to recognize y=mx+c, and now, im an engineering student, past imaginary numbers, past derivatives, watching this, and understanding it
@@yousef8432 , she's using the product rule to differentiate x²y. Remember the product rule is f'(g(x)h(x)) = g(x)h'(x) + g'(x)h(x). In other words, the first function times the derivative of the second, PLUS the derivative of the first function times the second function. So, with x²y the first function is x² and the second is y. (Remember that y is just shorthand for the function y(x)). So we have the first function times the derivative of the second: x²(dy/dx). PLUS the derivative of the first function times the second function: 2xy (note: no differentiation of the second function here). In total we have: (d/dx)x²y = x²(dy/dx) + 2xy.
SRL Signs lol just because her hair is flipped the other way? You can see that sometimes she slips up and doesn’t write the numbers as well as she does other words. So either her handwriting goes from good to 2nd grade level in an instant, or she’s recording normally.
NancyPi's constant "I'm about to fall asleep" energy is me 100% of the time
Not so great for the video but she teaches well
1.5 speed fixes that issue
same
IK I LITERALLY FELL ASLEEP NOT JOKING JCNDKFJF
Nice choice of words.
Nancy > my calculus professors at uni.
Thank you for doing these.
facts!!
i gotta do this stuff for my A levels too man
online classes is hard without proper teaching, thank you Nancy! i love how you explain every step of the way no matter how obvious it is because sometimes they can be missed out.
OMG, I agree. I was dying inside during my first lesson of this in my online class, UA-cam suggested this and it's magic! Thank you Nancy!
right!
U try having a teacher that barely speaks English, try and record videos with a cheap mic, and literally only reading off notes he made, he does nothing else lmao he just reads notes
Math has never been so calming. The explanation made a lot of sense thanks!
I originally took calculus 40+ years ago. At 71 years old I started reviewing my calculus so I could learn advance electronics. The book I am using is somewhat confusing and it takes several days of going over what they are trying to explain. Now I came across your videos and the explanations are more clear and easy to understand. Thank you for the help, Nancy. I am looking forward to more advanced topics.
Same here, old, relearning calculus. Reviewing my electronics books too.
I got an A in my Trig class because your videos helped me so much ! I'm taking calculus now and I'm so happy to see this!!! THANK YOU
@abood she cant get an F since Nancy is here
@@kingsergii5453 Don't be salty. Enjoy the comments.
KING SERGII it’s funny loosen up a bit damn
Nancy. I'm a retired engineer and just love studying math and science as a hobby. Your videos get to the point, are clear, concise and packed with information. You have increased my understanding of Calculus. Also love the way you fast forward writing out the details. A great service to those who are studying Calculus. Thank You!
🤓
@@dalbiryeerh1045 ok
strange , i am retired physician and love studying math as a hobby , i thought i am the only one
@@vhamemshazlm Your not the only one. There was so little time to study math in school. Now, in retirement, its a nice hobby trying to figure out the mysteries and make some sense of them.
Nancy. Thanks for taking the time to take your time. The biggest problem with seated lectures is that the teacher knows the material so well that they go through it really fast. I never have time to fully comprehend what's going on. Going slow and explaining your steps is so incredibly helpful!
You’re totally right!!
Absolutely True!!!
14:08 "I just did a bunch of calculus, and it's not my job" CLASSIC
What does she mean"It's not my job"????. Yet, I understand Impl. Diff.
@@sunlin894 She means that teaching maths on UA-cam is just a hobby, not what she does for a living.
@Chemist Me I think she's a physicist, actually. I feel like she has a video talking about her profession.
@Chemist Me I know this might be radical to some guys, but she is a well educated woman who has a grand career ahead of her, an MIT grad as well as a UA-cam phenom.
@@stardaggerrihannsu2363 no shit sherlock, what is your point?
I'm in my 50's now and i've begun to realise that the difficulty in maths arises from failing to remember all the little rules rather than a failure to understand. Nothing in this video was difficult to understand, I would however repeatedly trip up over every little quirk that was highlighted! 😂😂
Thanks Nancy!
I had this same realization a little while ago. If you just remember the rules you'll do well
@@blueiceani6833 actually so true
Coming back after a year off math to find Math BFF gone was a sinker, you and Khan got me through my first two years distance learning. Thankfully I found this channel and get instant revision in your familiar cool, calm manner and slightly downward sloping, backward handwriting! Please keep up the good work Nancy, for us non-math built people, you are a God send.
Shout out to you paul, im in the same boat let's get it
Honestly, much of what I've seen from your videos explain and teach calculus better and more concisely than a lot of the instruction I've gotten from college calculus professors. You're a life-saver, Nancy!
You are literally the only reason I’m passing calculus right now
I don't understand how my uni profs can take the content from this 14-minute clear explanation, spin it into a 60-minute talk while delivering absolutely nothing but confusion.
I honestly can't thank you enough Nancy. my professor is a small smelly balding man who shows his butt crack every time he tries to reach for the top of the white board, he coughs every 30 seconds (he's a heavy smoker), and he's all over the place, literally making it up as he goes. Your videos are pleasing in every way... perfect audio, great video quality, great examples and a clear purpose to everything you say, do and show! You make calculus stupid easy, because it is. Everyone who thinks math is hard either didn't try hard enough or had a poor instructor.
I like your half thinking/half explaining face--the rhetorical "does that make sense?" to the camera haha. Good job Nancy :)
This is the first time I have seen one of your videos Nancy. I very rarely comment on any videos, but I have to say that I think you are simply amazing! I am sure it must take so much concentration effort, being able to write everything backwards, while still keeping it all together and explaining everything in such a clear and calm manner AND never forgetting to switch between the two colors (every single time!). I have subscribed and am sure to watch your other videos as well as soon as they become relevant during my studies, Thank you so much for preparing and uploading this very professional video, much appreciated!
so im not crazy, how do you even do that and keep it together. writing mirrored is a huge skill
She's not writing backwards. It's a simple post-editing trick to flip the image. Lots of people doing videos with a clear board these days, so it's a fairly well-known process. Other than that, you're spot on that her video was extremely well-done.
@@NanoTellez Thanks for making me feel like a fool 😂 I really didn't think about the option.. So Nancy is also not left handed 😉
Girl, you rock. I would easily pay to have more of your content about calculus. Most of the classes or books I've been reading overcomplicate much of the content. You teach it using simple terms and language, making it easier to understand. Literally turning water into wine. Thank you
Ms Nancy. I watch your videos from Iraq. Keep up the good work "You r my real math teacher". I appreciate you
Me too ✌😂
First off, Panty Sniffer is a pervert. Secondly, Nancypi only has a few math videos. I don’t think she can ACTUALLY teach you an ENTIRE grade in these few videos. These videos are meant to help you with your course.
@Panty Sniffer her brain
يا سلام في عرب وانا فكرت اني الوحيدة😂
@@Thatgirlsx How do u guys type that with the normal keyboard
Your calm, clear, step by step explanations helps me calm down and actually pay attention and not worry about missing something. Some instructors talk way to damn fast. Thank you.
When the teacher covered it, it made no sense and seemed a beast of a concept! Now thanks to you it is a small kitten! Thank you!!!!
You are the FIRST person that explained what the heck this all means. I have seen the light! Thank you!
why hasn't anyone acknowledged the fact that Nancy is writing inside out
its mirrored after
@@Martin-X I think he meant that she's writing away from her body
Right, she's writing to her right which would go away from her body. Then it's flipped
@@Martin-X She's writing right to left ..
@@trevorstarr5218 yes but if you mirror the image it becomes right to left
You saved me, I have a teacher who I never understand a single word from her and mathematics is my major.. thank you so much, wish you all the happiness !!
I admit NancyPi's math skills are superb.....BUT IS NO ONE GONNA SAY HOW AMAZING IT IS THAT SHE IS WRITING BACKWARDS AND FACING US???? THAT IS TRUE SKILL.
Yaaa
Right she write in amazing formm great ...How she write like this ??🤔🤔
I forgot about the product rule and your video is the only implicit differentiation video that mentions it! Thank you for saving my calc grade!!
Nancy you are my saviour. Thanks to you, I will get through my master's degree
My professor is useless. He couldn’t explain this properly in over and hour. Thank you for making our lives easier.
Nicely done, NancyPi. I like that you add points where you see some students get tripped up. I tutor math and will be sharing your videos with students! Thanks!
Thank you, Nancy, for helping me study, and thank you for helping my professor teach. She actually thought your teaching style was wonderful that she listed your video as an added resource to her lecture and text videos. Keep going because I think there are Professors that notice your teaching style is pleasant, so it is possible that a professor recommend that you become part of a university as I professor. I hope that you become a professor, so that you can teach while experiencing benefits that come with being a professor.
Great videos always! Super helpful as a Calc 1 student to see other ways of thinking about and doing derivatives, limits, etc! :)
Yes
Lucid explanation, and great examples!! Watched this a few months ago when helping my kiddo with calculus homework (I have 4 years of calculus classes... 25 years ago and forgot most of the mechanics.) Well, helping her study for AP exam yesterday, implicit differentiation problem came up that she couldn't solve... NancyPi to the rescue again!
i watched the khan academy videos like 5 times and I watched this one once and I understood thank you nancy!
I'm doing Calculus online through WGU, and your videos have been a major game changer in how to understand this vs just reading about it. Thank you!
Hi Nancy, I hope you read this. You inspire a lot of us, and I hope you could soon make other videos for the Integrals, Advanced Math, and all of those sorts.. You rock! :)
Saw this tuesday for the first time and panicked, read the whole chapter and had no clue. Just watched this for 14 minutes and it's clear as day. Thank you so much!
if nancypi made programming videos: nancypy
My best math teaching channel yet.
id rather pay you to teach this than my university. im literally learning NOTHING from the book or professor!! you should have some merchandise to sell or something.
you're not alone
You're not alone
ok simp
@@braz1080 i make a comment about how i would rather pay someone who does a good job at teaching a subject matter vs paying my university or my professor who doesnt help and you think im a simp? whatever troll. you are watching the video too because you are taking the same class and need the help.
defending yourself like a true simp
Honestly, just wanted to say THANK YOU! I never understood implicit differentiation from a conceptual standpoint until now! I've always thought it was just something I had to memorize, but this was the first time I understood it intuitively!
That cleared things right up for me.
The thing that clicked the most is how Y represents an X value indirectly, and im like
OH Duh!
yeah same for me
Yeah when you she said to take the derivative with respect to "x", meaning just do the power rule, so I am naturally associating the power rule to finding for x first. And then just equal it to dy/dx because we are being "racist" towards y lol
Thank you Nancy so much, I had to stop the video and write this comment only to thank you before I finish watching the video. This was something very difficult for me to wrap my head around it.
THANKS MILLIONS.
YOU DO AMAZING TUTS.
Welcome back!. Gonna use this video later in this semester thank you 👌🏻
you are the best math teacher that i ever seen in my life
Wow Nancy you explained what my math teacher couldn't thanks a lot
Your videos on calculus are consistently well thought out and succinct. Thank you.
I lost it when she said "y-detector" lol
When?
*will be amusing herself with this during the final on Monday*
(in buzz lightyear voice) 'you don't wanna be in the way when my y detector goes off... y'
@@vaiebhavpatil2340 7:59
😂🤣💀
lmfaooo me too
If all teachers Math were like Nancy not many students were struggling even scared about math. She makes everything simple. Thanks, Nancy.
Your channel is so under rated! You explain things so well! I watched your Q&A btw! I am on the East Coast too and I loveeeeeeeeeeeeeeee pasta!! lol
Hey guys, we got a pasta LOOOOOVER over here!
Mackenzie Costner nhi degi
OMG! Thank you so much, you're such a lifesaver. You went into detail explaining each step as any teacher should. My math professor is horrible at explaining how she do things. She just teaches us as if were already supposed to know the steps.
I am struggling with BC, and your video helped me a great deal!
I already know how to do this but I needed to destress and your voice is so calming
I'm so glad you're doing so many more topics!
I appreciate your explanation! I have other video teachers I watch and they do a great job at most things. I'm glad I have found your videos because you provide detailed explanations where others may skip over things they feel are "obvious".
I cant even explain how helpful your videos are!!! I was having a really hard time in Calc this year doing online school. Thank you so much you basically taught me the whole first semester😭😭😭
Hi
Im from india where are u from
Thank you so much for this Nancy. Being an ODeL student is hard. So people like you always make life a little easier
Hi I really like the way you explain. I wish you could make a full course on calculus 1,2 & 3 with quizes and all.
Wouldn’t that be nice 😂
She is one of the best teacher I have ever had
I fell in love every time she said dy/dx
Baklang tooo
I've been struggling with implicit differentiation for days....this video made it perfectly clear to me. Thanks so much!
My goodness Nancy. You teach way better than KhanAcademy. Thank you so much ❤
Your rationale for why and when to use dy/dx is something other instructors aren’t so good at. Thanks for the great video
Thank you so much for explaining it very slowly as if you know you need to teach it to someone dumb like me . which is a good thing . helped a lot!
Thank you very much Nancy!!!! I was able to save about 3-4 hours time just by watching your video. You are a 100 times better than my teacher.
Love from India!!!
This is super amazing. I was actually struggling in Implicit Differentiation.
thank you so much you are the only who is thorough and clear enough. you helped me so much!
Watching this at 10:30pm the night before my 8am AP Calc exam
ive been skipping my calculus classes cause it's so early, which is impossible for me. Glad I have these tutorials to help me understand it 100x times better than what some of my professors ever could
thank you uploading your videos despite all those creepy morons in the comments!
I know right
Yeah, seeing those weirdos making creepy statements makes me feel uncomfortable. I just want to understand calculus lol.
Holy shit, this was so helpful. My teacher could not explain this in a way that made sense for the life of her. Thank you!
Great explanation!!! Thanks
I could listen to her explain things all day
Hello. Just wanted to say your videos are helping me a lot. I’m really struggling in calculus, and your videos help. I was wondering, if you can maybe do a video on particle motion and optimization? Thanks
I started watching your video sets on calc just before I started a course on it. Very helpful and easy to understand. Thanks a bunch!
THANK YOU Nancy
This girl teaches really well! I love the fast forward button when she is writing on the board. I wish she was around when I had calculus, I probably would have gotten A’s. 😅
OMG it was to factor out the dy/dx. Of course. Now I feel stupid after staring at this for 20 minutes. Nancy the witch! haha you and your sorcery. xD
Thanks Nancy for the crystal clear presentation. For the example x^2+y^2=36, one would get the same result by rearranging the function as y=sqrt(36-x^2) and take its derivative as usual, non-implicitly because y is singled out on the left. The result is dy/dx=(-x/sqrt(36-x^2), or. -x/y.
You are so helpful. Thanks.
Your videos make cramming for my exam much easier
i LOVE this girl!
Thank you, you’re my savior lol 😂
Stucked on a question for so long, ur video helped a lot.Thanks a lot Maam.
I miss you. Please do complex numbers
These videos are awesome, I was so confused but this cleared it up better than the 3 hour lecture I was in! Thank you
Exactly
7:17 Creepy :O Btw, you make things look very simple lol xD Wish I could do like a pro in exams.
I'm taking calculus right now and the only reason I understand anything is because I watch your videos. My professor is good and does a nice job but it just goes totally over my head. Then I come watch NancyPi's videos and suddenly it makes sense. So, thank you Nancy!
Please Teacher Nancy explain absolute maxima and minima I’ll be thankful 😭🙏🏻🙏🏻🙏🏻
the max and min are where the graph of the function reached either the highest or lowest point possible, for example, f(x)=x^2 has a minimum of (0,0) but no maximum because both sides continuously approach positive infinity
Thank you so much for the well constructed video and patient dialogue that walks us through each step! This is very appreciated, you're a great internet teacher!
Example:
Implicit differentiation of 3x^3 + 5y^2 = 15:
3x^3 + 5y^2 = 15
(The differentiation is implied)
Nancy you are so amazing at teaching math and I'm happy I found your channel because your videos are so clear and helpful. Thank you so much!🙏🙏🙏
Hi, i don't know how often you make videos a week or month but I have my second calc test next week. May you do a video on related rates?
I Ned that too also optimization
Same
I wish this was available a few years earlier when i was in calc class. now im sitting here relearning calc right before my FE exam. and the memories of struggles with calc are all flooding back. I find this a lot easier to understand than videos like from Khan Academy.
thank you for sharing your intelligence, Nancy.
Now I understand this concept. I did not know y^1 = dy/dx and that is another reason I was getting super confused on this topic. Amazing video. Thank you. It was really helpful.
Thank you!
i grew up dyslexic. wasnt very good at academics. i could barely spell "time" by the time i was 9. i hope that rhymes.
but yes i never expected, that back then i would barely be able to recognize y=mx+c, and now, im an engineering student, past imaginary numbers, past derivatives, watching this, and understanding it
9:09 NO. WAAAAAY.
SO THATS why we don't mess with the second y.... omg. *kaboom*
i cant tell if ur sarcastic but I don't get this part at all help lol
@@yousef8432 , she's using the product rule to differentiate x²y. Remember the product rule is f'(g(x)h(x)) = g(x)h'(x) + g'(x)h(x). In other words, the first function times the derivative of the second, PLUS the derivative of the first function times the second function.
So, with x²y the first function is x² and the second is y. (Remember that y is just shorthand for the function y(x)). So we have the first function times the derivative of the second: x²(dy/dx). PLUS the derivative of the first function times the second function: 2xy (note: no differentiation of the second function here).
In total we have: (d/dx)x²y = x²(dy/dx) + 2xy.
Fantastic. I love how simple it is when you talk about it❤
is she actually writing that backwards, or is it some camera play, if so what a talent.
In her profile pic her hair is parted the other way so she records backwards and flips the video during editing so we can read it.
@@srlsigns7944 holy crap you're observant mate
@@srlsigns7944 No ! recorded normally and image is flipped as in photoshop.
SRL Signs lol just because her hair is flipped the other way? You can see that sometimes she slips up and doesn’t write the numbers as well as she does other words. So either her handwriting goes from good to 2nd grade level in an instant, or she’s recording normally.
Wow. Helped me understand more about this than my professor in 50 minutes. He also made a video but it was very confusing. Thank you so much!