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).
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
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.
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
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.
@@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.
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.
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?
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?
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
Well in finding the second derivative of x square + ysquare= 25. In. -y+x(-x/y)/ysauare. Y r u multiplying the top and bottom by y.that's where I'm confused😢
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?
Is there a way I could use this d^2y/dx^2 within a point slope formula or something similar to form tangent lines through a point given that isn't present in the initial function? I've been doing this in a simple form with parabolas and other basic curved lines that use only d/dx. I use point slope formula with "d/dx of original function=(given y point not in function minus f(x))/(given x point not in function minus x)" to find the possible inputs of x in the original function then work from there. This equation worked nicely because I had d/dx = an equation with only x variables and constants. However, I'm definitely struggling to do the same thing with hyperbolas, circles and ellipses. . An example of what I'm asking would be. Find the equation of the tangent lines of the equation 1=x^2/9+y^2/25 that pass through the point (7,-2). Might this utilize d^2y/dx^2?
i not sure who can solve this question bc i hear it is quite weird.. y= (A+x) cos x and the A is constantly, finding d^2y/dx^2 + y that is independent of A.. hm
(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
Been looking for this the whole week..got an exam tomorrow... but i cant find separable variables( given a condition) for non homogeneous equations..Help😟
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..
![โรงเรียนห้ามรัก โดนจับได้ตาย...!! [เอิร์นไดเม่]](http://i.ytimg.com/vi/4u02Sbr556Q/mqdefault.jpg)
Derivatives - Formula Sheet: bit.ly/4dThzf1
Final Exams and Video Playlists: www.video-tutor.net/
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.
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
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
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
due to your lessons i started to feel myself confident a little, so so thank you
Your video helped me tremendously in understanding this topic. Thank you.
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🥺
I am not English and I can say that you are the best! Keep this creativity going
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
The quality of his teaching is unbelievable .....THANK YOU
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 don't think you understand how many lives you've saved!!!! I swear you deserve my tuition 😫😫
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
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
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.
Bruhh this is so easy when u explain it couldn’t find anyone else better to explain it
This man is the real HERO with cover face not superman or batman etc .🦸♂️♥️
I really appreciate your explanation, thanks to your kind help, I managed to do my assignment
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.
JG all the way. You're just too much excellent.
Thanks a lot!
Really appreciate it!
Awesome teaching!
this is exactly what i needed
BRO U SAVED ME I LOVE YOU 😭😭
JG always doing the best, I salute
Great video once again! I learned a lot.
Thanks for educational and fair use a new one of the teaching style 🥰🥰
you save my life time and time again sir thank you
Which software do you use for your tutorials (not for screen recording but for illustrations). Thanks.
You have done me great❤
Just what i needed ......you're awesome
THANKYOU👌🏾👌🏾
very good examples of implicit differentiation
Who is this guy? 🤣I've learn a lot from this channel
This guy is really my Life saver🤰
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.
both are implicitly derived
i love u this is literally what i needed
Wow! This is so helpful
Love you for being so helpful!
thanks a lot buddy you made it easier for me
Don’t skip ads watch them it helps this channel get paid 😎 the least we can do
Ur really good tnks sir
I love your videos
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?
JG, better than my teacher
Became very helpful...🤩✨
He is the best 👌
And audio great here
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?
thank youuuu po♥
Thanks, helped a lot
thanks bro i think im gonna buy one of your t shirts because youre epic
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. 🤣
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
Pls upload a video of hyperbolic differentiation. Thanks 😊
I got that in my exam today-😀
Lucky😂😂😂
Why did you multiple y on both denominator and numerator on the second derivative
At 10.30 minutes
This is better than khan academy
Thanks you so much sir
THANKS
Very helpful 😊
Well in finding the second derivative of x square + ysquare= 25. In. -y+x(-x/y)/ysauare. Y r u multiplying the top and bottom by y.that's where I'm confused😢
Dude doesn't use fillers much. Yep he let's me relax while learning.
thank youu so much for this!
I love yr channel so much ❤️ thank you
can i ask why do we write dx² and not d²x ?
Why did dy/dx come after 3y^2 instead of coming after -4 or after 2x
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
Our teacher doesn't teach anything and doesn't care, you've been carrying this entire class
Yeah nice job JG
You’re my 4AM hero 😭
Why are we multiplying by y at 10:40?
Quotient rule is suppose to use subtraction in numerator right?
God bless you!
Is there a way I could use this d^2y/dx^2 within a point slope formula or something similar to form tangent lines through a point given that isn't present in the initial function? I've been doing this in a simple form with parabolas and other basic curved lines that use only d/dx. I use point slope formula with "d/dx of original function=(given y point not in function minus f(x))/(given x point not in function minus x)" to find the possible inputs of x in the original function then work from there. This equation worked nicely because I had d/dx = an equation with only x variables and constants. However, I'm definitely struggling to do the same thing with hyperbolas, circles and ellipses.
.
An example of what I'm asking would be. Find the equation of the tangent lines of the equation 1=x^2/9+y^2/25 that pass through the point (7,-2). Might this utilize d^2y/dx^2?
You are amazing
i not sure who can solve this question bc i hear it is quite weird..
y= (A+x) cos x and the A is constantly, finding d^2y/dx^2 + y that is independent of A.. hm
-sincos²x/1+cos²x
Very helpful ❤️🤠
please tell me, why the derivative of y is equal to -x/y?
I prefer you way more than Khan academy
Iam in class 10 iam not interested in my grade studying it's all easy till calculus comes
Incredible!
why do you keep dy/dx? I am confused like where does that come from
Woah waoh am i hearing this correctly? 0:02
Paddletatoe 77 Oml I was thinking the same thing. 👀
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
Why you written dy/dx with 2y can you explain it
thank u😭
thank you GOD.
How does x time y become x squared
Tnx a lot sir
Been looking for this the whole week..got an exam tomorrow... but i cant find separable variables( given a condition) for non homogeneous equations..Help😟
@Anonymous97 very helpful.been searching high and low for this..Thanks
can I ask where did he get the P(4,3) for finding the second derivative?
Given
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..
11:14 where did you plug from???????????? Where did ... oh ok I get it thanks
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.
Thanks sir