Our teachers in school should teach us Maths like this in schools and colleges and solve real life problems with Maths and not blindly teaching us the same.This is very good Mathematical application Example.
School teacher K liye aapka esa sochna aacha nhi hh. Step by step chije smzte hh to accha vrna ager aap 5th class K bacche ko 10th K concept smzaoge to uske smz nhi aaye.. Try to understand this thing
When 1st derivative of a function of x is set to zero , the solution(s) for x represent either maximum or minimum value of that function. In this example case, the value of x=10 gives maximum volume and the value of x=30 gives minimum volume
@@atulbesra822 Seriously? 99%? Then do i belong to the 1%? First of all what's the definition of "rote"? I mean, people can definitely understand the beginning of calculus by understanding limits. Limits are a very natural and intuitive concept in calculus. After limits we can then learn about derivatives. We can pretty much derive the first principles of derivatives by ourselves using limits. This is by pure understanding. We can also derive all derivative rules using the first principles. Differential calculus done. Now coming to integral calculus, yes, i agree, we have to remember the two fundamental theorems of calculus.
The scientist Maxwell has his 4 electromagnetic equations based on calculus. Entire electromagnetism stands on the shoulder of calculus and the great Scottish scientist Maxwell. There wouldn't be any of the today's technologies including mobile communications, satellites etc without electromagnetism and in turn the great calculus. Calculus is indeed god's language of design intent Thank you sir for explanations and your genius.
😊😊 I am a teacher, we teacher fraternity also wants to teach like this, an d we do also but only a teacher knows how to cover syllabus in a deadline in a effective way... Being a student you never know the hardships of teachers.. btw I like your positive attitude towards teaching.
I am bsc student I solved calculus lot's of time but I didn't know the use. My college teacher just told me how solve it but didn't tell about how to use.Thanks sir 🙏
Physics student..yt recommended me this bdeo ..wow what an experience after watching it ... needed something like this to motivate me to get into math coz physics without math is like having bread without butter
good nicely explained. derivative is "rate of change of one quantity w.r.t other". if we have equation between 2 quantities, say how resistance of a wire varies w.r.t temperature, R(T)= T^2 + 2T - 4 . then derivative of dR/dT will give how resistance varies when temperature goes up or down.
3:44 For x = 30,10 if 2nd differentiation is -ve then function in maximum and if it's positive then it's minimum So V"= 2x-40 Putting x = 30 V" = 20 (+ve) Putting x = 10 V" = -20 (-ve) Means at x=10 function in maximum
volume of regular polygon is equal to Area of that polygon × its height and volume of cuboid is lbh ( because h is not equal to l or b so it can't be considered as a cube )
Volume of the box remains the same irrespective of how small or big the x would be. Length * breadth* height. Which means total saman aap utna he bhar paaoege jitna uska volume hoga nothing more. I just loved the explanation and attempt too good keep it up.
Sir there is more thing for the video ..As we have taken its first derivate to get a function which we equals to zero, We got two value ..Then we again differentiate to get a function (-480+24x) here by putting those two values obtained and using the concept of maxima and minima we could just mathematically prove the maximum and minimum values .Kudos to your effect
Sir, I appreciate your efforts as we can see the sweat on your face but yet you are not using fan and teaching just that it cannot affects sounds quality Hats off to you sir!!!!
Good video and the background you showed of electrical board is of the importance with respect to volume space behind it using calculus. A large volume electric switch box may allow electricians to fit Bluetooth or wifi module for remote based control of fans, bulb, 💡, Tube, exhaust, TV, Cooler, AC, etc..
He skipped something. He should have clarified that. The question is that why did he take dy/dx = 0. What was the logic for it, at conceptual level. When I thought about it carefully, this came to my mind - V' or dy/dx is to be taken 0 because if we keep increasing value of x by infitessimally small increments, there will come a point when value of y won't increase. At that point infitessimal increament in x - dx will produce dy = 0. That will be the point of upper limit of y (volume). That will be the point of maximum value of y in this function. I myself am learning. I might be wrong here. But the validity of this question still holds - why do we need to take dy/dx of (V') = 0, in this case. I am appreciating his attempt to demonstrate practical application. But what he skipped is vital.
Aise hi school Wale maximize V = (60-2x)(60-2x)x likh ke de dete hai aur uska derivative=0 kar dete hai lekin iska practical use kya hua ye nahi batate bas exam ye question aayega to aise solve karna bol dete hai. Thank you sir for explaining with real life example. 🙏🏻🙌🏻
Mathematics is infallible; in this instance, it might be excessive. For this three-dimensional model, assigning a value of 30 to X may not be practical, but in higher dimensions, the value of X being 30 could be feasible, Just a thought. Anyways you explaination and you way of teaching is just killer. Here's my respect for teacher like you.
Maths is everyone's favourite subject until Calculus walks in. Generally it is said that Calculus is the toughest topic in the whole math. Rest depends on individual to individual. Best of luck!👍for facing it in 11th-12th and in graduation.
To add, the dy/dx=0 will give you values of x where the original function will be maximum AND also minimum. dy/dx=0 at local maxima and minima. The x=30 gives you the min volume and x=10 gives you the max volume.
![Why you didn't learn tetration in school[Tetration]](/img/n.gif)
Our teachers in school should teach us Maths like this in schools and colleges and solve real life problems with Maths and not blindly teaching us the same.This is very good Mathematical application Example.
tash119 Thanks you 😊
School teacher K liye aapka esa sochna aacha nhi hh.
Step by step chije smzte hh to accha vrna ager aap 5th class K bacche ko 10th K concept smzaoge to uske smz nhi aaye..
Try to understand this thing
Our education policy mainly focus on theory rather than on practicality...
3600 kaha se aa gaya
@@MathConnectionDKDinkar *thank
Indian channels like these need more recognition and need to blow up
Bhartiya Janta to Carryji k liye pagal hai. 😅
@@super15388 wo bache hai na isliye
When 1st derivative of a function of x is set to zero , the solution(s) for x represent either maximum or minimum value of that function. In this example case, the value of x=10 gives maximum volume and the value of x=30 gives minimum volume
Thanks
Almost Right But Point Of Inflation ( where fn. Not Min or Not Max. ) Crying At Corner 😢
Yeah , if 2nd derivative is positive , at that point the function gives minimum value and max value of negative
But where is "calculas".it's a binomial theorem.
@@subharadey6606 no , this is from "applications of derivatives" topic , not at all related to binomial theorem
Woww wowww wowwwwwwwww!! Fall in love with calculas after seeing this!! Thank you so much sir!! Love from West Bengal!!
Sir, मजा आ गया आपका video देखकर लोग बोलता है की maths का real life में कोई use नहीं हैं।आज use देख लिया।❤❤❤❤❤❤❤❤❤❤❤
Calculus is the unsung hero of the human existence..
it is sung between engineers and mathematicians
@@enigma1552 since those engineers and mathematicians are humans
@@enigma1552 we studied them in schools,
are we not humans?
@@NishantCosmos99% people learn calculus by rote.
@@atulbesra822 Seriously? 99%? Then do i belong to the 1%? First of all what's the definition of "rote"? I mean, people can definitely understand the beginning of calculus by understanding limits. Limits are a very natural and intuitive concept in calculus. After limits we can then learn about derivatives. We can pretty much derive the first principles of derivatives by ourselves using limits. This is by pure understanding. We can also derive all derivative rules using the first principles. Differential calculus done. Now coming to integral calculus, yes, i agree, we have to remember the two fundamental theorems of calculus.
The scientist Maxwell has his 4 electromagnetic equations based on calculus. Entire electromagnetism stands on the shoulder of calculus and the great Scottish scientist Maxwell. There wouldn't be any of the today's technologies including mobile communications, satellites etc without electromagnetism and in turn the great calculus. Calculus is indeed god's language of design intent
Thank you sir for explanations and your genius.
Bro only calculus better say vector calculus
@@prakhars962 vector calculus is based on vector algebra and yes this word exists if you don't believe just go and search on google
@@prakhars962 and also its related to the diff and integration of vector fields in physics
😊😊 I am a teacher, we teacher fraternity also wants to teach like this, an d we do also but only a teacher knows how to cover syllabus in a deadline in a effective way... Being a student you never know the hardships of teachers.. btw I like your positive attitude towards teaching.
I am bsc student I solved calculus lot's of time but I didn't know the use. My college teacher just told me how solve it but didn't tell about how to use.Thanks sir 🙏
Physics student..yt recommended me this bdeo ..wow what an experience after watching it ... needed something like this to motivate me to get into math coz physics without math is like having bread without butter
good nicely explained. derivative is "rate of change of one quantity w.r.t other". if we have equation between 2 quantities, say how resistance of a wire varies w.r.t temperature, R(T)= T^2 + 2T - 4 . then derivative of dR/dT will give how resistance varies when temperature goes up or down.
3:44 For x = 30,10 if 2nd differentiation is -ve then function in maximum and if it's positive then it's minimum
So V"= 2x-40
Putting x = 30
V" = 20 (+ve)
Putting x = 10
V" = -20 (-ve)
Means at x=10 function in maximum
Phenomenal...you 100x.better than our school teachers were
Great sir, the thing that I did not understand in 55 years, u clarified that curiosity in short time...
2:03 bhaiyya vo volume ka formula kese banaya, plz reply if anyone know.
Multiplication of Length, width, height
Volume= Area of square×height
=(60-2x)(60-2x)*X
volume of regular polygon is equal to Area of that polygon × its height and volume of cuboid is lbh ( because h is not equal to l or b so it can't be considered as a cube )
Lbh
Simply for a cube
Length × width × height
Thank you so much Sir for putting up all the efforts
It's my pleasure
He is the guy who knows, how to apply reading in the real life , awesome sir
Wow ...best 👏🎉
Always support practical knowledge
wow,, great sir,,, the thing that we still not understood in 20 years,,, u clarified that curiosity in few seconds
Thumbnail and inside content is totally different 👍🏻
Thats how youtube works👍🏼
The thumbnail could also be used to explain calculus we can use it to determine length of a curve (parabola) in that case
Volume of the box remains the same irrespective of how small or big the x would be. Length * breadth* height. Which means total saman aap utna he bhar paaoege jitna uska volume hoga nothing more. I just loved the explanation and attempt too good keep it up.
Sir there is more thing for the video ..As we have taken its first derivate to get a function which we equals to zero, We got two value ..Then we again differentiate to get a function (-480+24x) here by putting those two values obtained and using the concept of maxima and minima we could just mathematically prove the maximum and minimum values .Kudos to your effect
Agr is trh se school mai samjhate to kya mjaa aa jaata maths padhne thanks bro.kuch nya seekhane ke liye
X = 10 is maxima and X= 30 is minima.
So 30 cm gives minimum volume possible which is 0.
Excellent
Sir, I appreciate your efforts as we can see the sweat on your face but yet you are not using fan and teaching just that it cannot affects sounds quality
Hats off to you sir!!!!
thanks buddy
Understanding I got from this one video feels better than passing my calculus exams
Good video and the background you showed of electrical board is of the importance with respect to volume space behind it using calculus.
A large volume electric switch box may allow electricians to fit Bluetooth or wifi module for remote based control of fans, bulb, 💡, Tube, exhaust, TV, Cooler, AC, etc..
He skipped something. He should have clarified that. The question is that why did he take dy/dx = 0. What was the logic for it, at conceptual level.
When I thought about it carefully, this came to my mind - V' or dy/dx is to be taken 0 because if we keep increasing value of x by infitessimally small increments, there will come a point when value of y won't increase. At that point infitessimal increament in x - dx will produce dy = 0. That will be the point of upper limit of y (volume). That will be the point of maximum value of y in this function.
I myself am learning. I might be wrong here. But the validity of this question still holds - why do we need to take dy/dx of (V') = 0, in this case.
I am appreciating his attempt to demonstrate practical application. But what he skipped is vital.
Simply slop of curve equal to zero.
Lovely. I’m 43 ur old and never knew this application of derivation. Also got to revise how to take dy/dx
This is an example of maxima, minima. 👏👏
Hats off to you Sir, more than 22 years have passed since I left school, but this situation cleared now.
Subscribed and sharing your channel❤
Automatic smile on my face after watching this video.... almost at the end when we are on the conclusion x=10 ❤❤
Thanks for your sharing , the example is very interesting to understand the chapter .
Sir aapne toh aag lga di... Mtlb maza aa gya.. Mathematics is beyond just solving equations..
Bhaiya. Op op op ... Aj calculus thoda samjh me aaya kyu use karte hain...❤️❤️❤️❤️
Skilled teacher ❤❤
Aise hi school Wale maximize V = (60-2x)(60-2x)x likh ke de dete hai aur uska derivative=0 kar dete hai lekin iska practical use kya hua ye nahi batate bas exam ye question aayega to aise solve karna bol dete hai. Thank you sir for explaining with real life example. 🙏🏻🙌🏻
Fantastic example sir.... really i missed teachers like you.... Hatsoff
Very good explanation sir if Teachers of school teach us A.O.D and integration students will understand concept easily
12 th NCERT question | Thanks for understanding us practicaly 🙏❣️
Wow…
That’s a good information…
Appreciated
Excellent . Stay good.
You need more recognition
What an explanation
Thanks, ऐसा मैने कबी सोचा ही नहीं था
Dil jit liya apne.. Love you, brother 🇧🇩💓
very insightful
Wonderfull explanation thank you sir💕💕💕💕💕
Simple and easy to understand , nice sir
dy/dx will also be = 0 at minimum volume as at maxima and minima slope will be =0.
This is one of the questions from the chapter application of derivatives. My sir used the same example to explain the practical use of derivatives.
Thanks a lot for proving the practicality of it.
Mathematics is infallible; in this instance, it might be excessive. For this three-dimensional model, assigning a value of 30 to X may not be practical, but in higher dimensions, the value of X being 30 could be feasible, Just a thought. Anyways you explaination and you way of teaching is just killer. Here's my respect for teacher like you.
This same question is given in NCERT book all have studied it...
Best teacher. Great
I have completed my PG years ago.., I am not using calculus in my professional career, still I enjoyed watching this😁
Excellent application of math in real life, something every student can relate to.
As a neet aspirant, we only study differentiation integration to solve mathematical problems, but this was ❤❤❤
Lot's of Gratitude Sir ❤
Nice 👌 video sir ❤️....love from Bengal ❣️
This man deserves an award 🙏🙏
Love you sir from Bangladesh ❤
Very good example sir.....Very good example
I already solved this question in application of derivatives in my jee preparation
o my god sir i cannot tell you how much i have searced for a video like this. really thanks sir
Superb Video Thanks For The Video Sir...!!
Great teaching with example. Keep it up. 2024
JUST AMZINGGG
Great great great!!!! Thanks sir
Sir ne padhaya tha par apne pratical karwaya diya❤
This teacher deserve more 👍👍👍👍👍👍❤️
Thanks buddy
Wow sir.... amazing 😊🎉
NICE EXPLANATION...
ENGINEERS CAN UNDERSTAND
Nice vdo sir.... 🇮🇳🇮🇳🇮🇳
Respected sir, it was really amazing example !
the only thing that I'd like to say is that x = 30 is not meaningless but it is the minima.
Smart, Interesting & Useful Stuff Thank you for your feedback. I am agree with you 😊
Great videos buddy
Super vedio .it is increasing interest in maths
I am in middle school and I have no idea what is calculus and I have never done it but now I am eager to learn it soon
Maths is everyone's favourite subject until Calculus walks in.
Generally it is said that Calculus is the toughest topic in the whole math.
Rest depends on individual to individual.
Best of luck!👍for facing it in 11th-12th and in graduation.
Amazing 😍🤩🎉😊 thanku very much sir
Maan gaye guruji😮😮😮😊😊
Thanks a lot, love from Bangladesh
To add, the dy/dx=0 will give you values of x where the original function will be maximum AND also minimum. dy/dx=0 at local maxima and minima. The x=30 gives you the min volume and x=10 gives you the max volume.
Well done. 👍
Loved it sir .....keep uploading more such videos 😍
Thank you sir.
similar problem given in ncert class 12 maths chpt application of derivatives
Calculus Ko practicaly samaz paya hu , bahot acha laga ,aise aur example dijiye
Visit Learnscape and solve any math
Bahut accha laga sir 🙏
Excellent explanation❤❤
Well explanation in realistic way
Nice Explanation Sir!
Thank you sir ji 🙂🙂
well sir I nver learn maths like this
love you sir😍😍😍😍😍
What a demonstration. 🤌
Salute to you sir ❤
Wow sir .... thank you
Superb
Mind blowing
Fantastic 👌👌👌👌👌👌
thanks
Great job 👍👌 keep it up sir
Thank you, I will
Very good.. like this
Thank you! Cheers!
great job sir salute to your hardwork and passion for maths
Great job sir... Please get some more