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 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 🙏
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.
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 )
😊😊 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.
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
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
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.
If you plot the graph of the equation that he had derived, then it would have peaks and troughs where a tangent at that point is zero, and in calculus the tangent at that point is also known as the first derivative or dy/dx. The reason he got 30cm and 10cm is because the first derivative gives you both the maximum achievable value and minimum achievable value, hence the reason for dy/dx
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..
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!!!!
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
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.
Actually iske bad double derivative test use karke Check karna hota hai Ke in ono valuse me max kabhi hoga aur min kabhi hoga Agar double derivative-aaya To vo maxima hoga And vise versa Uske bad ham max volume ke value bhi dhund sakte hai
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.
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
clickbait ho gya mere sath, mai kaali chain dekhne aya tha
Same 😡
Hao na sala
😂😂 me bhi
Same😂😂😂😂
Same
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.
Woww wowww wowwwwwwwww!! Fall in love with calculas after seeing this!! Thank you so much sir!! Love from West Bengal!!
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 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 🙏
Sir, मजा आ गया आपका video देखकर लोग बोलता है की maths का real life में कोई use नहीं हैं।आज use देख लिया।❤❤❤❤❤❤❤❤❤❤❤
Phenomenal...you 100x.better than our school teachers were
Lovely. I’m 43 ur old and never knew this application of derivation. Also got to revise how to take dy/dx
This is the question of ncert books 🤭😆😆😆🚬🚬
I think in 6.5 (maximum and minima)
this video is the reason why internet was actually invented, thank you so much, brilliant video.
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.
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
Thank you so much Sir for putting up all the efforts
It's my pleasure
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
😊😊 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.
It took him less than 3 minutes to explain the practical use of Calculus... And you are giving excuse of covering syllabus... Come on
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
Great sir, the thing that I did not understand in 55 years, u clarified that curiosity in short time...
wow,, great sir,,, the thing that we still not understood in 20 years,,, u clarified that curiosity in few seconds
He is the guy who knows, how to apply reading in the real life , awesome sir
This is an example of maxima, minima. 👏👏
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
Amazing... No one taught with this kind of practical example
Thanks for your sharing , the example is very interesting to understand the chapter .
X = 10 is maxima and X= 30 is minima.
So 30 cm gives minimum volume possible which is 0.
Excellent
Actually vo double derivative test se pata chalta hai
Amazing explanation, loved the way you connected derivation with real life simple example….
Agr is trh se school mai samjhate to kya mjaa aa jaata maths padhne thanks bro.kuch nya seekhane ke liye
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.
If you plot the graph of the equation that he had derived, then it would have peaks and troughs where a tangent at that point is zero, and in calculus the tangent at that point is also known as the first derivative or dy/dx. The reason he got 30cm and 10cm is because the first derivative gives you both the maximum achievable value and minimum achievable value, hence the reason for dy/dx
Wow ...best 👏🎉
Always support practical knowledge
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..
Nicely described sir.... this is how the practical integration of Maths shall be done as per the New Educational Policy👍
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
I wonder, After doing engineering and currently working in a MNC, now saw a real life calculus example. I do subscribe the Channel.🎉
Very good explanation sir if Teachers of school teach us A.O.D and integration students will understand concept easily
Skilled teacher ❤❤
Understanding I got from this one video feels better than passing my calculus exams
12 th NCERT question | Thanks for understanding us practicaly 🙏❣️
Wonderfull explanation thank you sir💕💕💕💕💕
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❤
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.
Thanks, ऐसा मैने कबी सोचा ही नहीं था
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
Bhaiya. Op op op ... Aj calculus thoda samjh me aaya kyu use karte hain...❤️❤️❤️❤️
Fantastic example sir.... really i missed teachers like you.... Hatsoff
I wish I would’ve learned maths in manner in school. Great work.
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. 🙏🏻🙌🏻
Excellent application of math in real life, something every student can relate to.
Dil jit liya apne.. Love you, brother 🇧🇩💓
You need more recognition
What an explanation
Sir aapne toh aag lga di... Mtlb maza aa gya.. Mathematics is beyond just solving equations..
Good explained
Maza aa gayi sir ji,,,thank you
Automatic smile on my face after watching this video.... almost at the end when we are on the conclusion x=10 ❤❤
Nice 👌 video sir ❤️....love from Bengal ❣️
Wow! thankyou for teaching it so amazingly, first time i understood calculus .
Sir ne padhaya tha par apne pratical karwaya diya❤
Maan gaye guruji😮😮😮😊😊
Pranam guruji 🙏 thanks for sharing 😊
I already solved this question in application of derivatives in my jee preparation
Amazing Sir. Thank You Sir.
Please reach out to Normal schools to teach Math with real life examples.
This man deserves an award 🙏🙏
Super vedio .it is increasing interest in maths
Amazing 😍🤩🎉😊 thanku very much sir
Wow…
That’s a good information…
Appreciated
Nice vdo sir.... 🇮🇳🇮🇳🇮🇳
Love you sir from Bangladesh ❤
I have completed my PG years ago.., I am not using calculus in my professional career, still I enjoyed watching this😁
Thanks a lot for proving the practicality of it.
Very good example sir.....Very good example
Simple and easy to understand , nice sir
Wow sir.... amazing 😊🎉
This teacher deserve more 👍👍👍👍👍👍❤️
Thanks buddy
Superb Video Thanks For The Video Sir...!!
NICE EXPLANATION...
ENGINEERS CAN UNDERSTAND
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.
As a neet aspirant, we only study differentiation integration to solve mathematical problems, but this was ❤❤❤
Excellent . Stay good.
Actually iske bad double derivative test use karke
Check karna hota hai
Ke in ono valuse me max kabhi hoga aur min kabhi hoga
Agar double derivative-aaya
To vo maxima hoga
And vise versa
Uske bad ham max volume ke value bhi dhund sakte hai
Bahut accha laga sir 🙏
very insightful
Lot's of Gratitude Sir ❤
Wao. Mai bio ka student hu fir bhi acche se smjh aa gya
o my god sir i cannot tell you how much i have searced for a video like this. really thanks sir
Great teaching with example. Keep it up. 2024
Magical math😊😊😊
dy/dx will also be = 0 at minimum volume as at maxima and minima slope will be =0.
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.
This same question is given in NCERT book all have studied it...
Amezing ❤😊🎉
What a demonstration. 🤌
Great great great!!!! Thanks sir
Thank you very good explaining sir
Thank you sir ji 🙂🙂
Why didn't I find a teacher like you when I was in school?
Your envy your students, great work Sir.
For no reason I am watching your videos
Well explanation in realistic way
So well explained, sir💖💖💖
Loved it sir .....keep uploading more such videos 😍
Best teacher. Great
similar problem given in ncert class 12 maths chpt application of derivatives