Just my own opinion, I like both Khan Academy and JG. I don't think there should really be a comparison between them. Khan Academy has more concept, and JG is about more problem solving. Both of them are really good tutoring
@@carlitobrigante9740 Yeah, Khan Academy has a website, an app, lots of YT videos, Math, Physics, Biology, Chemistry (like JG) AND Economics, Finance, SAT Prep. JG sort of teaches you how to easily pass and learn what you need to for exams, while Khan Academy sort of tries to teach you the concept, where it comes from, and teaches for mastery (with which test scores come).
Ughgge thank you so much, I wish all math professors were like you and Professor Leonard. You both really explain in depth on how to solve these problems. Thank you so so much man, seriously.
I’m studying aerospace engineering so this stuff helped to recall my lecture and understand it much better. Can you please make a video for equilibrium
@@cindymonterola4518 I agree. Hes passionate about maths. Same as a doctor is about saving life, or an engineer bettering the world through invention, same as an actor giving us some form of distraction. Practice makes perfect. Everyone is built different and everyone has different passion. This gentleman has amazing skill and has helped thousands.. his candor and attitude doesnt seem to reflect that at all.
1st video of yours that I watch. I must say I am quite impressed/pleased. Your explanation skills are praisabl, you are able to explain functions with the mentality of a clueless student. PS wish I could take my exam with you.
THANK YOU OH MY GOD! My teacher gave us an FRQ last week and it had the second derivative of an implicit function which we never covered. I feel so much better now thanks to your video
Hi, I managed to understand everything so well. I do have one question though, why do we multiply most of the derivatives that we get from power rule/product rule by dy/dx? Whats the significance of dy/dx and where does it come from? Thank you!
Dy Dx is the two sides of the triangle connected to the tangent line when your trying to measure an implicit curve. To visualize it think of a unit circle centered at 5x and 5y. His initial equation is the implicate curve and the dirivitive will give you the slope of the tangent line.
If I'm saying this correctly you use implicit differentiation when your finding the tangent line only when you have a graph that would look like a complete circle? The channel 1brown3blue really explains the deeper theory well with lots of visuals.
Just like when you learn to do integration which is measuring the area under the curve dx is the space of the many rectangles your measuring the area of it it means differentiate x in terms of derivative of y I believe... I may have the last part not 100 percent. Got t go look that up again.
(Pertaining to the last example) Why do you have to implicitly derive the first time but then derive normally the 2nd time? I understand that they're both implicit differentiation, but I dont understand why you cant just solve for y the first time or derive it without solving for y' the 2nd time.
(x * -x/y) * y will turn out to be (-x^2/y) * y when u evaluate that it will turn into (-x^2 * y) / y cancel out the y and it becomes -x^2 he just skipped that step thats why it was confusing
When I took calc in high school, this chapter test only had one second derivative problem because it’s so long and tedious with multiple substitutions. Now I’m in college and our test had 3 second derivative questions, like wtf there’s so much room for errrrrrror. Damn you college
if you were to solve the numerator, you would have (-y^2 - x^2) / y. When you have a fraction inside of a fraction, you kiss and flip. i was confused too but if you're really having touble just solve that equation and you'll be like "ohh!"
@@diana-lb6fu if you were to solve the numerator, you would have (-y^2 - x^2) / y. When you have a fraction inside of a fraction, you kiss and flip. i was confused too but if you're really having trouble just solve that equation and you'll be like "ohh!" its just basic math but he skipped a step which made me confused too
In the second line he multiplies 3y^2 by (d/y divided by d/x), does that signify that the slope of 3y^2 is different from that of y^3 and the d/y divided by d/X adjusts for that?
First, you take a square of (3)^2, and then the answer 9 goes with the minus sign. Solve the parenthesis first because minus is for the answer of the parenthesis.
I tried finding the 2nd derivative of the 2nd problem. I stopped halfway since it was taking too long. Is it really supposed to take too long, or am I not doing it right?
Can the first derivative shown in the video also be solved as y'=1/3(-x^2+4x+8)^(-2/3)*(-2x+4) after we isolate y^3 and take the cube root of both sides?
you didnt take derivative of that y... with 10xy^3 youd do product rule. so 10*y^3 + 10x*3y^2(y') this y' is result of taking derivative of 2nd term, which is the y^3..
Derivatives - Free Formula Sheet: bit.ly/4dThzf1
Derivatives - Video Lessons: www.video-tutor.net/derivatives.html
This just makes so much sense ! I can’t understand a word in my class lecture. May god bless you !
Same
Amen
God bless you
Second derivative starts at 7:20
Thank you
You’re a boo
thank youuu
Thank you bro
THANK YOUUUUU
I don't skip adds in return of his good teaching skills
Me too^^
Because that's what heroes do.
Does watching through the ads help him?
@@knora2974 yes
Yes. I skip too.
Thanks so much. I have a Calculus test tomorrow and I needed this right now. Can’t believe you posted it at this time. God bless you! Thank you ❤️❤️
❤️❤️❤️❤️❤️🙏🏻
Stefany Sanchez did u do will😂?
I'm writing Calculus114 tomorrow😂🥺HELP
Bro he teaches better than my teacher
due to your lessons i started to feel myself confident a little, so so thank you
ok...why is khan academy famous?? JG is the best online tutor of all time
Because they have their own website and app I guess
Just my own opinion, I like both Khan Academy and JG. I don't think there should really be a comparison between them. Khan Academy has more concept, and JG is about more problem solving. Both of them are really good tutoring
@RandomGuy Most likely his initials.
@@carlitobrigante9740 Yeah, Khan Academy has a website, an app, lots of YT videos, Math, Physics, Biology, Chemistry (like JG) AND Economics, Finance, SAT Prep. JG sort of teaches you how to easily pass and learn what you need to for exams, while Khan Academy sort of tries to teach you the concept, where it comes from, and teaches for mastery (with which test scores come).
This facts though
The quality of his teaching is unbelievable .....THANK YOU
I am not English and I can say that you are the best! Keep this creativity going
Your video helped me tremendously in understanding this topic. Thank you.
I don't think you understand how many lives you've saved!!!! I swear you deserve my tuition 😫😫
Your teaching method is so awesome.
I so love your work.
Thank you
Thanks dude, I was doing problem on this and couldn't do it. You get me through some tough times real fast!
😌😌😌😌😌😌😌😌😌
thank you so much for taking the time to make these videos🥺
Ughgge thank you so much, I wish all math professors were like you and Professor Leonard. You both really explain in depth on how to solve these problems. Thank you so so much man, seriously.
Am impressed and blessed by these your lectures, I have understood concept which I never grasped while in school... God bless u
I’m studying aerospace engineering so this stuff helped to recall my lecture and understand it much better. Can you please make a video for equilibrium
I'm studying mechatronics and system engineering please can you make a video on algebraic functions
How to did you pass 12th grade without knowing this
@@dnkfcr He recalled his lecture, he didn't re-learn it.
@@omegaorsomething this stuff is used all the time in engineering... Like how you don't need to "recall" addition and subtraction
Bruhh this is so easy when u explain it couldn’t find anyone else better to explain it
Why are we multiplying by y at 10:40?
can you post videos of the practices? like a 2-hour long video of questions and answers would be so great!!
It's on his patreon
How are you so smart like how you remember all this
Practice...repetition sets it in your memory banks lol
Because he’s Hercules
@@nosir1479 Hercules wasnt insane at maths though lol. Because hes Aristotle
cuz he built different
@@cindymonterola4518 I agree. Hes passionate about maths. Same as a doctor is about saving life, or an engineer bettering the world through invention, same as an actor giving us some form of distraction. Practice makes perfect. Everyone is built different and everyone has different passion. This gentleman has amazing skill and has helped thousands.. his candor and attitude doesnt seem to reflect that at all.
1st video of yours that I watch. I must say I am quite impressed/pleased. Your explanation skills are praisabl, you are able to explain functions with the mentality of a clueless student.
PS wish I could take my exam with you.
This man is the real HERO with cover face not superman or batman etc .🦸♂️♥️
Thanks a lot!
Really appreciate it!
Awesome teaching!
JG always doing the best, I salute
JG all the way. You're just too much excellent.
I really appreciate your explanation, thanks to your kind help, I managed to do my assignment
THANKYOU👌🏾👌🏾
THANK YOU OH MY GOD! My teacher gave us an FRQ last week and it had the second derivative of an implicit function which we never covered. I feel so much better now thanks to your video
BRO U SAVED ME I LOVE YOU 😭😭
Great video once again! I learned a lot.
this is exactly what i needed
you save my life time and time again sir thank you
Who is this guy? 🤣I've learn a lot from this channel
You have done me great❤
This guy is really my Life saver🤰
Just what i needed ......you're awesome
Thanks for educational and fair use a new one of the teaching style 🥰🥰
very good examples of implicit differentiation
Became very helpful...🤩✨
THANKS
thanks a lot buddy you made it easier for me
Love you for being so helpful!
Our teacher doesn't teach anything and doesn't care, you've been carrying this entire class
can i ask why do we write dx² and not d²x ?
Wow! This is so helpful
thank you GOD.
thanks bro i think im gonna buy one of your t shirts because youre epic
He is the best 👌
And audio great here
Which software do you use for your tutorials (not for screen recording but for illustrations). Thanks.
I love yr channel so much ❤️ thank you
Don’t skip ads watch them it helps this channel get paid 😎 the least we can do
I got that in my exam today-😀
Lucky😂😂😂
Very helpful 😊
Ur really good tnks sir
Why did you multiple y on both denominator and numerator on the second derivative
At 10.30 minutes
JG, better than my teacher
You’re my 4AM hero 😭
Hi, I managed to understand everything so well. I do have one question though, why do we multiply most of the derivatives that we get from power rule/product rule by dy/dx? Whats the significance of dy/dx and where does it come from? Thank you!
Dy Dx is the two sides of the triangle connected to the tangent line when your trying to measure an implicit curve. To visualize it think of a unit circle centered at 5x and 5y. His initial equation is the implicate curve and the dirivitive will give you the slope of the tangent line.
If I'm saying this correctly you use implicit differentiation when your finding the tangent line only when you have a graph that would look like a complete circle? The channel 1brown3blue really explains the deeper theory well with lots of visuals.
Just like when you learn to do integration which is measuring the area under the curve dx is the space of the many rectangles your measuring the area of it it means differentiate x in terms of derivative of y I believe... I may have the last part not 100 percent. Got t go look that up again.
i love u this is literally what i needed
thank youuuu po♥
Very helpful ❤️🤠
thank youu so much for this!
This is better than khan academy
I love your videos
Woah waoh am i hearing this correctly? 0:02
Paddletatoe 77 Oml I was thinking the same thing. 👀
Thanks you so much sir
(Pertaining to the last example) Why do you have to implicitly derive the first time but then derive normally the 2nd time? I understand that they're both implicit differentiation, but I dont understand why you cant just solve for y the first time or derive it without solving for y' the 2nd time.
both are implicitly derived
Iam in class 10 iam not interested in my grade studying it's all easy till calculus comes
Yeah nice job JG
I prefer you way more than Khan academy
At 2:03 ,why is dy/dx written with 3y^2?
bc you're differentiating in terms of x, so when you take the derivative of a y variable, you need to multiply it by dy/dx to make it in terms of x
@@fluffyemu2714 Thank u very much.I got it.
THANK YOU SO MUCH! I was having a hard time and kinda stressed thinking how they get it but now, it’s like my brain got unloaded. 🤣
Dude doesn't use fillers much. Yep he let's me relax while learning.
thank u😭
Thxxxx❤❤❤❤❤
Pls upload a video of hyperbolic differentiation. Thanks 😊
God bless you!
You are amazing
Quotient rule is suppose to use subtraction in numerator right?
10:45 Why didn't you multiply x^2 by Y as well in the numerator?
(x * -x/y) * y will turn out to be (-x^2/y) * y
when u evaluate that it will turn into (-x^2 * y) / y
cancel out the y and it becomes -x^2
he just skipped that step thats why it was confusing
When I took calc in high school, this chapter test only had one second derivative problem because it’s so long and tedious with multiple substitutions. Now I’m in college and our test had 3 second derivative questions, like wtf there’s so much room for errrrrrror. Damn you college
Unless dy/dx = x/y or y/x then these second derivatives kick my ass
May I ask why you multiplied it by Y at the end part?
if you were to solve the numerator, you would have (-y^2 - x^2) / y. When you have a fraction inside of a fraction, you kiss and flip. i was confused too but if you're really having touble just solve that equation and you'll be like "ohh!"
Why multiply by Y again?
Did you find answer? Why?
@@diana-lb6fu if you were to solve the numerator, you would have (-y^2 - x^2) / y. When you have a fraction inside of a fraction, you kiss and flip. i was confused too but if you're really having trouble just solve that equation and you'll be like "ohh!" its just basic math but he skipped a step which made me confused too
Why you written dy/dx with 2y can you explain it
Tnx a lot sir
In the second line he multiplies 3y^2 by (d/y divided by d/x), does that signify that the slope of 3y^2 is different from that of y^3 and the d/y divided by d/X adjusts for that?
Incredible!
9:38 why is (dy/dx)=(-x/y)
11:14 where did you plug from???????????? Where did ... oh ok I get it thanks
In 11:26 i think -3^3 is 9 not -9 is it right ?
First, you take a square of (3)^2, and then the answer 9 goes with the minus sign.
Solve the parenthesis first because minus is for the answer of the parenthesis.
I tried finding the 2nd derivative of the 2nd problem. I stopped halfway since it was taking too long. Is it really supposed to take too long, or am I not doing it right?
why do you keep dy/dx? I am confused like where does that come from
Why did dy/dx come after 3y^2 instead of coming after -4 or after 2x
please tell me, why the derivative of y is equal to -x/y?
Thanks sir
How does x time y become x squared
Can the first derivative shown in the video also be solved as
y'=1/3(-x^2+4x+8)^(-2/3)*(-2x+4) after we isolate y^3 and take the cube root of both sides?
No it’s wrong
How come you didnt multiply the 10xy^3 with dy/dx as well, since it has a y in it?
you didnt take derivative of that y... with 10xy^3 youd do product rule. so 10*y^3 + 10x*3y^2(y') this y' is result of taking derivative of 2nd term, which is the y^3..
can I ask where did he get the P(4,3) for finding the second derivative?
Given