This guys energy is unmatched. I was watching this to study for my upcoming midterm and this made my entire day. Subscribed. I can't wait to come back here for studying
I have looked through multiple calculus books and watched several different youtube vids and could not get this concept. This guy made it SO clear, and he did with energy and enthusiasm. THANK YOU!
This has been the most amazing, well thought out, constructed, well spoken analysis of any difficult math I have seen in my entire life, you are the reason I am going to do well on my test tomorrow.
This is just amazing. The concept of inverse and reciprocal had always been the same thing to me, but I've just learned they're not the same. You're a great teacher sir! Thank you so much..
Beyond grateful to have stumbled upon this channel, not only is he super articulate with the way he explains problems, but he also manages to keep my attention and focus on what he is explaining. THANK YOUU
You are right, never stop learning because it's the first time I have come across finding the derivative of an inverse function. I have always done the derivative of functions, but not their inverses. This is very informative.
Thank you so much for this video! I've been trying to solve this concept for a while and you made it so simple and easy for me to understand. You are an amazing teacher!
Hello sir, I am studying in class 9 and I wanted to learn calculus for cracking any sort of exams. I believe in you. You made such a hard topic easier. Hts off sir. From India.
MAN your passion and energy makes me excited to learn maths.. it is true when they say if you have a great teacher you will truely love a subject...thank you🤗
Thanks for this video! Neither my textbook nor my calc professor could explain this in a way I could understand, but your explanation made it so clear.
Sir, thank you so much, I was able to understand this lesson, I have been searching a lot but I can't understand their lesson.. thankfully I saw your video🥰🥰🥰 THANK YOU SO MUCH AND GOD BLESS SIR.
The formula for the derivative of an inverse function is nothing more than a peculiar application of the chain rule. Suppose f and g are inverse functions of one another. Then f(g(x)) = x. It follows that d[f(g(x))]/dx = f'(g(x))·g'(x) = dx/dx = 1. Hence g'(x) = 1/f'(g(x)). Considering your example, where we know f(x) = x^2 but we don't know that g(x) = sqrt[x], or if we do know that g(x) is sqrt[x], we don't know how to compute its derivative, we can apply the formula in the following way: We want g'(9). f'(x) = 2x => f'(g(x)) = 2g(x) => f'(g(9)) = 2g(9). Now, f(3) = 9 => g(f(3)) = 3 = g(9). Thus f'(g(9)) = 2·3 = 6. Finally, g'(9) = 1/f'(g(9)) = 1/6 ◼
Bro, you saved my exam results. Thank you so much
36 year old engineer here almost shed a tear seeing someone who looks like me teaching this
This guys energy is unmatched. I was watching this to study for my upcoming midterm and this made my entire day. Subscribed. I can't wait to come back here for studying
Thank you. I'm glad you find them entertaining.
I have a calculus test in the morning and with the way you just explained this, it has cut down hours of limbo the text books leave us in. Hats off 🧢.
I have looked through multiple calculus books and watched several different youtube vids and could not get this concept. This guy made it SO clear, and he did with energy and enthusiasm. THANK YOU!
This has been the most amazing, well thought out, constructed, well spoken analysis of any difficult math I have seen in my entire life, you are the reason I am going to do well on my test tomorrow.
Good luck!
This was really helpful, literally the best teacher on this I've seen. thank you so much........In prime newtons we trust
This is just amazing.
The concept of inverse and reciprocal had always been the same thing to me, but I've just learned they're not the same.
You're a great teacher sir!
Thank you so much..
Beyond grateful to have stumbled upon this channel, not only is he super articulate with the way he explains problems, but he also manages to keep my attention and focus on what he is explaining. THANK YOUU
His way of teaching is amazing and cover the concept clearly
You are right, never stop learning because it's the first time I have come across finding the derivative of an inverse function.
I have always done the derivative of functions, but not their inverses.
This is very informative.
Thank you for this feedback. And thank you for watching my videos. I appreciate you.
i had been confused with this concept so many times but luckily, I've stumbled upon ur video! Thx very much sir
Wonderful class..💕👏
Thank you...😌😌
From.. Kerala,India 🇮🇳
Lots of love ❤️
Best teacher I have ever seen I definitely going to share this channel with my friend.
Hello sir. I am from INDIA🇮🇳 and i loved your teaching very much. 💖. I understand full consept. Thank you very much sir.
You are an awesome teacher. You make everything complicated so clear and simple. That seperates a good teacher from others.
Thank you so much for this video! I've been trying to solve this concept for a while and you made it so simple and easy for me to understand. You are an amazing teacher!
Hello sir, I am studying in class 9 and I wanted to learn calculus for cracking any sort of exams. I believe in you. You made such a hard topic easier. Hts off sir. From India.
Nna I like you ntate , you open my eyes with every video you do🤦🙌😊
this man have an incredible energy to explain every point that makes you understand everything
MAN your passion and energy makes me excited to learn maths.. it is true when they say if you have a great teacher you will truely love a subject...thank you🤗
I appreciate that!
*EUROPEAN SPOTTED*
Thanks for this video! Neither my textbook nor my calc professor could explain this in a way I could understand, but your explanation made it so clear.
Glad it was helpful!
this is amazing. YOUR VIDEO IS THE ONLY VIDEO I TRULY UNDERSTAND.
thank you so much!!! deserve more likes and views.
I'm glad it helper
Man I watched several videos - but urs is just amazing! All details and how u explain them is awesome! Don't stop doing it, please)
This guy is good, he explains everything clearly
I was using this as a refresher for my calc class, thank you! 🙏
Textbooks are terrible at teaching calculus. Thank you for taking the time to break it down and explain, this helped very much!
Really good video, you explained it so well that I even could solve my difficult examples for my final exam at university!
Love your videos from Ethiopia ❤❤
Great explanation, thanks for this video
You are the BEST!!! My students LOVE you. Hello from Arizona
Wow, thank you!
unbeilavable teacher made the topic seem so simple cant wait to watch his other videos
Brother, you are really good, just saved me, I got test this morning and this video made my day. Thanks
I'm glad it helped
I just saw Prime Newton and clicked, and as always, you did an excellent job at explaining this concept 👍
Watched this before my calf test and you explained it the best ‼️ TYSM
after i see this video i understand it simply appreciate ur work and Love ur energy
thank you , great examples, explained well and i'm less confused by the process and more
ready for the test in two days
Good luck!
Poof! As simple as that. Thank you for this video! I'm glad you explained swapping the x and y, then renamed the y to x. This has helped.
All the concept is clear ..thank you..
Such an amazing video on derivative of inverse function. Concept clear, no doubts. Thankyou from India 🙏
Wow. This was best explained. Will be back for more
phenomal approach to teaching a complex topic in a simple way. excellent content!!!
Thank you
u just delivered some excellent math with a large amount of happiness
You are a genius !!
This was very helpful. Thank you sir.
Thank u so much sir! I'm taking calculus 2.ur video is so helpful! keep ur good works on!
This is great! Your simple explanations coupled with your enthusiasm make this topic accessible! As a 69 y.o. doing this for fun, simple is good.
Thank you. Glad you find my video helpful and credits to you still learning 😊
I just discovered your videos yesterday and i am amazed!! you explain everything so well and in a really clear way. thank you
I had been factoring this whole time, this is so useful. Thank you!
You are doing a great job, keep it up sir
Thank you, I will
Amazing lecture cleared so much up and straight to the point!
Teaching becomes a piece of art with you.
Come on... you're really gooood....you just made me understand this in a short period
I came back, This lecture deserves a noble prize 🥇, everything was explained soo well
Thank you, Mr. Putin II.
I want this cool math. Just look at how awesome he dress and how well he explains stuff.
Thank youuuuu!
Best teacher in the cosmos
you just saved my life 💛💛💛💛💛💛
Good luck!
thank you for uploading. I finally get it and figured out how implicit applies to this.
Thank you so much for this great video!you are an amazing teacher who make math fun.
U have Super teaching skills😍👌💯💯
Sir, thank you so much, I was able to understand this lesson, I have been searching a lot but I can't understand their lesson.. thankfully I saw your video🥰🥰🥰 THANK YOU SO MUCH AND GOD BLESS SIR.
I literally watched five different videos on this topic and could not understand it until I found yours. Thank you so much!
How can I triple-like a comment?? Cuz same!!!
This is so good ❤ very informative I’ve learnt a lot and it’s so easy to understand tooo
Amazing, please keep it up, your explanations are so clear and simple.
Thank you 😊
i wish you were my teacher cause this was so easy to understand, thank you very much
Never Stop Teaching!
easily explained
I have no words to describe you bro keep up the good work
I'm like #1000, thanks for the video
The formula for the derivative of an inverse function is nothing more than a peculiar application of the chain rule. Suppose f and g are inverse functions of one another. Then f(g(x)) = x. It follows that d[f(g(x))]/dx = f'(g(x))·g'(x) = dx/dx = 1. Hence g'(x) = 1/f'(g(x)).
Considering your example, where we know f(x) = x^2 but we don't know that g(x) = sqrt[x], or if we do know that g(x) is sqrt[x], we don't know how to compute its derivative, we can apply the formula in the following way: We want g'(9). f'(x) = 2x => f'(g(x)) = 2g(x) => f'(g(9)) = 2g(9). Now, f(3) = 9 => g(f(3)) = 3 = g(9). Thus f'(g(9)) = 2·3 = 6. Finally, g'(9) = 1/f'(g(9)) = 1/6 ◼
That is true. Good explanation.
love your work keep doing what you're doing!
Very productive nice 👍
This was so very helpful! Thank you!
it was really helpful. Thank you so much
keep uploading
your a life saver props to you man!!
Thanks so much for the video man. My calc hw is due at midnight and I was desperate. Amazing explanation!!!
I love your way of teaching...❤❤❤
Thank you
@@PrimeNewtons Sir plz don't say thanks because you deserve it...🤗🌷🥀🌸🌹🌻
Best teacher's always near to the student...
God bless you
You are amazing mr Newton, you explained this so well
Thank you
bro, you are a legend, I would want you as my teacher. You help me solve exercises for my university admission.
Great explanation for the inverse function.
excellent explanation
Thank you, great explanation!
Yoh you just made my day!!! Can you please make more and more videos because I literrally use this as the only page for calculus!!!
I'm glad it helped
These are types of mathematicians we like. Thanks plenty Sir. And at which institutions are you offering lesson?
In Los Angeles
Your enthusiasm for the subject seems infectious. However, my advice to you is to go somewhat slow. I have some of the concepts clarified.Thanks!
Lol.. Thank you. I may have sped up the video during g editing to save time. But you're right. I am enthusiastically speedy 😄
I from Ethiopia I love you so much mr❤
bless your heart
I love you man. You should take my college "professor's" income.
Thank you for explaining the material.
You have a great way of teaching.
Thank you. Might I say, you have a great way of finding great things to learn.
@@PrimeNewtons Both of you are right!
Wow this is amazing! You've saved me
Thank you so much. I really love your videos ❤. I hope you do more on different engineering topics.
Thank you bro, you really helped me❤️
You are amazing THANK YOU SO MUCH😍😍
Great and perfect go on
Wow...this video is just amazing please how do I get the video on this please?
EXCELLENT EXPLANATION!!
Very good video
Superb
you deserve more subs and views.
Thanks