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.
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.
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.
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 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!!!!
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
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 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 🙏
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.
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.
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
I think you missed one thing If (dy/dx)=0 Then it can be minima or maxima condition both If double differentiation is negative then condition will be of maxima
Differentiation gives maxima and minima - so it is not correct to say that after differentiation you values that are maximum. It would give you values that result in maximum / minimum, which you have to test and find out. dy/dx = 0 means point at which the curve has zero slope and that can be at minimum point also
Pl explain why and how in calculus the first derivatice should be zero. Also whay is first derivative? Perhaps you skipped the main calculus thing and consumed all time in Algebra and Mensuration .
volume ka first derivative area hoga....means cardboard area....also first derivative pe curve apna diretion change karega...means ya to max to min....or min to max
What's the use of learning all these formulas and concepts when we have Computers and AI Technology too! Schools should focus on teaching skills because nowadays, big Tech Companies like Google, Microsoft, Meta, Tesla, OpenAI etc. hire for jobs only by skills and deep understanding and not by any degree from any University/College in the world! Exams like JEE can only cracked by learning formulas, theories and deep understanding of concepts and in Chemistry, Organic Chemistry is very detailed as compared to 10th class Chemistry of which most knowledge is complete waste who doesn't want to pursue Chemical Engineering in which you try to discover something new element or Compound.
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
Thumbnail and inside content is totally different 👍🏻
Thats how youtube works👍🏼
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
Woww wowww wowwwwwwwww!! Fall in love with calculas after seeing this!! Thank you so much sir!! Love from West Bengal!!
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.
Sir, मजा आ गया आपका video देखकर लोग बोलता है की maths का real life में कोई use नहीं हैं।आज use देख लिया।❤❤❤❤❤❤❤❤❤❤❤
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.
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
Thank you so much Sir for putting up all the efforts
It's my pleasure
kabhi kisine yase example nehi diya hai.
Thanks a lot for letting me know.🎉❤❤
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..
Phenomenal...you 100x.better than our school teachers were
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!!!!
thanks buddy
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
wow,, great sir,,, the thing that we still not understood in 20 years,,, u clarified that curiosity in few seconds
Wow ...best 👏🎉
Always support practical knowledge
12 th NCERT question | Thanks for understanding us practicaly 🙏❣️
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 )
Fantastic example sir.... really i missed teachers like you.... Hatsoff
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 😊
Excellent application of math in real life, something every student can relate to.
Skilled teacher ❤❤
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 🙏
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.
Sir aapne toh aag lga di... Mtlb maza aa gya.. Mathematics is beyond just solving equations..
Sir ne padhaya tha par apne pratical karwaya diya❤
X = 10 is maxima and X= 30 is minima.
So 30 cm gives minimum volume possible which is 0.
This man deserves an award 🙏🙏
You need more recognition
What an explanation
Bahut accha laga sir 🙏
Thanks for your sharing , the example is very interesting to understand the chapter .
Thanks, ऐसा मैने कबी सोचा ही नहीं था
This teacher deserve more 👍👍👍👍👍👍❤️
Thanks buddy
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.
dy/dx will also be = 0 at minimum volume as at maxima and minima slope will be =0.
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
Dil jit liya apne.. Love you, brother 🇧🇩💓
Very good explanation sir if Teachers of school teach us A.O.D and integration students will understand concept easily
Calculus Ko practicaly samaz paya hu , bahot acha laga ,aise aur example dijiye
Visit Learnscape and solve any math
o my god sir i cannot tell you how much i have searced for a video like this. really thanks sir
Nice 👌 video sir ❤️....love from Bengal ❣️
JUST AMZINGGG
Lot's of Gratitude Sir ❤
Wonderfull explanation thank you sir💕💕💕💕💕
I think you missed one thing
If
(dy/dx)=0
Then it can be minima or maxima condition both
If double differentiation is negative then condition will be of maxima
Great sir but I think explanation is incomplete with second derivative you can prove both maximum volume and minimum volume 🎉
Ok next time
Nice vdo sir.... 🇮🇳🇮🇳🇮🇳
Superb Video Thanks For The Video Sir...!!
Sir ye toh bohot simple hai. Integration ka real life example dijiye koi😊
Thank you sir ji 🙂🙂
Thanks a lot, love from Bangladesh
Amazing 😍🤩🎉😊 thanku very much sir
Loved it sir .....keep uploading more such videos 😍
Got a subscriber ❤
Great teaching with example. Keep it up. 2024
Best teacher. Great
Sir PlZ make a vdo on real life use matrix and determine plz sir 🙏🙏🙏
Visit Learnscape and solve any math
Sir, u r amazing... I never thought I could use math like this.
I solved same kind of problem (maximum volume of cone at what angle) using calculus
Very well explained
Very nice explanation sir
great job sir salute to your hardwork and passion for maths
30 pe value minimum hoga
EQUAL TO 0
Super vedio .it is increasing interest in maths
Fantastic Sir 👍
sir ye double split ki maya he calculus ki no
Excellent 👍👍
Great videos buddy
In mechanical engineering technology calculus is used widely to operate a machine automatically
very nice
I already solved this question in application of derivatives in my jee preparation
Greattt sir...it has become so easy to understand...thanks
Priya Raghuvanshi 3
Thank you very good explaining sir
Start was good, but afterwards lost grip. I always struggled with calcules in school.
Great job 👍👌 keep it up sir
Thank you, I will
Wao. Mai bio ka student hu fir bhi acche se smjh aa gya
Sir I'm a teacher of class X xi xii only for board exam , really ur explanation is helpful for me . thank you sir
Never understood Calculus, so had to skip engineering 😮
Wow
In this case, why 1st derivative should be zero for maximum volume?
Please explain it in an easy way.
Differentiation gives maxima and minima - so it is not correct to say that after differentiation you values that are maximum. It would give you values that result in maximum / minimum, which you have to test and find out. dy/dx = 0 means point at which the curve has zero slope and that can be at minimum point also
thank you, i was looking for the explanation of "why to do dy/dx and set it to zero"
Two best teachers of Maths are DKdemy sir and Subject Teacher :)
Thanks buddy. Fact: there are many good teachers :)
Wo dy/dx ka hi to meaning nahi samaj aa raha aur vo zero kaise hoga
dy/dx means slope, just like height/base
Slope is zero at maximum and minimum of any wave.
Maxima minima padhna hoga calculus me
Class11-12 math topic
Impressive ❤
Sir plz basic concepts clear kra dijiye integration or differentiation ke video cls
Will do it soon
Visit Learnscape
Superb
Mind blowing
Fantastic 👌👌👌👌👌👌
thanks
Excellently explained.... Really awesome.... 👍🏻
Wow so beautiful
Well explanation in realistic way
Pl explain why and how in calculus the first derivatice should be zero. Also whay is first derivative?
Perhaps you skipped the main calculus thing and consumed all time in Algebra and Mensuration .
volume ka first derivative area hoga....means cardboard area....also first derivative pe curve apna diretion change karega...means ya to max to min....or min to max
That's why he say example not explanation of topics
Amezing ❤😊🎉
well sir I nver learn maths like this
love you sir😍😍😍😍😍
Thank you sir , very helpful
Very good example
Tnkk uh Sir ... Make more vidz like this✨
Sir plz issi trah ki real life explanation par aak mukkamal playlist bnayei..
Plz..
What's the use of learning all these formulas and concepts when we have Computers and AI Technology too!
Schools should focus on teaching skills because nowadays, big Tech Companies like Google, Microsoft, Meta, Tesla, OpenAI etc. hire for jobs only by skills and deep understanding and not by any degree from any University/College in the world!
Exams like JEE can only cracked by learning formulas, theories and deep understanding of concepts and in Chemistry, Organic Chemistry is very detailed as compared to 10th class Chemistry of which most knowledge is complete waste who doesn't want to pursue Chemical Engineering in which you try to discover something new element or Compound.
Subscribed and liked it too ❤