The way you explain complex concept in a clear and simple words is great. I am also a Maths teacher and really appreciate your hard work and dedication towards your subject. I would suggest you to make videos on Mathematical jokes or daily conversation in terms of Maths. Humor is the best way to remove the fear of Maths. God bless you.
Thank you so much for the wonderful and motivating comment!! Really humbled and happy to get this appreciation from a teacher in the same field🙏🙏🙏 The idea of humour is really brilliant....I now recall my teachers too making the class more enjoyable by cracking jokes....yes, will definitely try this out ..thank you so much for the suggestion 🙏🙏 Really good content on your channel sir👍👍
@@arunahuja1839 he is true if y= 4.9t^2 then dy/dx will be 9.8×t^2-1 = 9.8×t ,, t taken as 11 then we get 107.8 where u got at 11.01 so there might be wrong calculations done by u ( channel owner )
Thank you so much for the wonderful feedback, really means a lot!! Yes, will surely plan more such videos in future, if you have any topics in mind,pls do share👍👍👍
i have a doubt at 4:59 shouldn't the instantaneous velocity be directly displacement by time and the time is 11s and thus velocity=592.9m/11sec why did we take the rate of change?
Velocity defined as the rate of change of displacement....so v= ∆s/∆t Now, for instantaneous velocity,the ∆t is very small or almost close to zero....still we have to find ∆t.....that's where differentiation comes to picture because limit ∆t tends to zero, ∆s/∆t = ds/dt Pls let me know if you have any questions...
Hello, h is a variable whose value is not zero,but is very very close to zero or tending to zero. In the video example, we define velocity as the change in displacement ∆s ,with respect to change in time ,∆t . But as we choose time intervals closer to each other ,say 11.00001 and 11 ,then that ∆t becomes a number very very close to zero,though not perfectly zero. So in this example,∆t is like that variable h which also is present in the denominator and tends to zero. Pls let me know if you have any questions....
Happy to be of help 👍 👍 definitely,we can take any variable instead of h....it's just that in some books, specific variables are used to maintain uniformity 👍👍
No doubt that was a great explanation, but I hope Differentiation could be little more easy to understand. Anyway it was the best explanation I've ever seen...
Thank you so much for the wonderful comment.... really delighted to read your feedback!! Yes indeed, differentiation is a bit different from what we have learnt till now...hence perhaps it takes a bit longer for us to grasp the concept....but it's amazing how the great mathematicians developed this branch called differential calculus....it's really an ocean...
@@UsernameXYZ947 thank you so much for the appreciation!! 😊😊👍👍 s=ut+1/2at², where s is displacement, a is acceleration due to gravity, u is initial velocity.... Here, u=0, a=9.8, Therefore, s= 9.8t²/2 s= 4.9t² Pls let me know if you have any questions...
Speed in the time interval 11 to 11.1 is 108 m/s 11 to 11.01( closer to 11s) is 107.85m/s 11to 11.00001 ( more closer) is 110m/s I think when move close to 11, it should be lesser, why speed has increased. Velocity is directly propotional to gt
Yes,you are right... actually I have approximated the speed value ...it should be 592.901078 and not 592.9011 ....so 592.901078-592.9= 0.01078 which divided by 0.00001 gives 107.8 and not 110....pls see my pinned comment...pls let me know if you have any questions...
Nice video & very good presentation! I presume the equation y = 4.9t ^2 is derived from separable ODE. dy/dt = g t when integrated becomes Y = g t^2/2 + C . Am I right ?
Thank you so much for the wonderful comment... really keeps me motivated!! This equation is from the equation s= ut+1/2at²...here u=0,hence we got u=1/2at², here a=g=9.8, therefore u= 4.9at²,pls let you know if you have any questions...
Hi Priya, it’s me again. Like others I am not from Maths background but I am very much interested to learn some topics in Maths including Differentiations and Calculus and Integrals. I came across your video which is quite impressive. In this video till the end your explanation was very clear to understand but all of a sudden you explained about the equation, which may be I couldn’t grasp it. How to understand the equation, can you please tell me or send me the link where I can watch and learn more about it. If I do not understand the basic then I cannot understand anything related to the subject. I hope you will help me with that. Thanks
So nice to hear from you again.... thank you for the feedback!! Can you just give me the timestamp of the equation you did not understand? I will then try to explain it...
@@EnjoyMath Like mam could you explain that equation a little bit more how it came when limits h tends to zero , why it is F(x+h) - f(x) ?? Just want to understand that equation
@Aryan-rt2fo f(x) is any function, and h is a very very very small change in x...we want to find out that when there is a very small change in x value, i.e. x+h then what is the corresponding change in the function ...so for x+h the function will be f(x+h)...now the difference will be f(x+h) - f(x) ...this difference tells us the change in f(x) when x changes by a very small value of h...and f'(x) =( f(x+h) - f(x))/h , as h tends to 0... Pls let me know if you have any questions...
@@EnjoyMath Hence it not possible to know the exact value of the number which is closest to / just next to 0. So, In differentiation when the denominator (delta x) tends to 0 and correspondingly the Numerator, its function (delta y) must also be tending to some number. That value of the (delta y) is called as the 'limiting value'. dy/dx then means : the limiting value of the function divided by (delta x) as it tends to 0. We do not know the exact values of neither the numerator nor the denominator. But still the limiting value is considered/picked/accepted because we *don't* know what number falls immediately afterwards 0. I think that students don't understand dx or the concept of variable tending to another number (eg x->0) because they fail to realise that there are inifinite numbers between *ANY* two given numbers. Also, the best way to deal with this uncertainty is to have faith in god and admit how limited our knowledge is.
@@EnjoyMath Just as we don't know whats larger than the largest (Universe). Likewise we also don't know whats tinier than the tiniest(eg.Sub atomic particle electron)
Wow...your explanation and point of view reflects the deep thinking you have done on this topic....you have just explained the very vital truth that all students should appreciate....the universe out there is beyond our limited levels of thinking....it's very humbling and liberating too... If student and teacher both interact with this truth in mind that they both are in the same boat...that both are eternal students in this school of life....then education would be so much more interesting and enjoyable... Thank you so very much for sharing your wonderful thoughts!! Really appreciate it !! 😊😊👍👍👍👍
Yes, absolutely right....in our example ,the time is changing by a very very very less value,so in our example,time or t takes the place of h.... pls let me know if you have any questions....
Thats means the answers we het using differentation is for small interval then it is not exact it is approximate. But we work at rockets speed we even. 0.00001 sec matters how do they calculate it
The answers we get from differentiation are quite accurate,not approximate,and hence useful in space calculations....pls let me know the reason why it appears to be approximate value....
@@EnjoyMath oh Thankyou for the info then we can use in space calculation wow great but will there be any micron difference in exact answer and answers we from differentiation
Most welcome!! Yes, maybe there will be micron difference...it's a good question....I am not that aware of how the scientists take care of any micron differences that may arise...I have heard that they do take in to account for the human and mathematical approximations in their calculations...but I don't know the details...if any of our viewers know about it...pls do share in the comments section 👍👍👍
@@EnjoyMath We are third party' design small components for private jet body parts I don't do manual calculation but we use software for design and measuring the distance and gaps even if there is a 0.001 difference or gap they will not accept that will lead to air leak and pressure difference ultimately lead to damages or wrost cases blow out the chamber
Excellent explanation and easy to understand for a beginner but I found small error in your explanation, in general digits after decimal has to be said separately not as double zero, double zero, one. Thanks
Thank you so much for the appreciation!! Really means a lot....yes, i accept the points you have mentioned...thank you for the feedback,will keep them in mind while making future videos 👍👍👍👍
s=ut+1/2at², where s is displacement, a is acceleration due to gravity, u is initial velocity.... Here, u=0, a=9.8, Therefore, s= 9.8t²/2 9.8/2=4.9 s= 4.9t² Pls let me know if you have any questions...
I have a doubt... At 11.1 s the instantaneous speed is 108.29 m/s At 11.01 s it is 107.85 m/s But, at 11.00001 s it is 110 m/s which is, in my view, wrong because as the time decreases the instantaneous velocity should decrease... So, it should be less than 107.85 m/s... Correct me if I'm wrong...
As per the calculations in the example, 593.9785-592.9= 1.0785 That is divided by the time interval 11.01-11= 0.01 1.0785/0.01= 107.85 m/s I think actual instantaneous speed at a given moment is same...now the question is how accurately we capture its value....if we keep the time interval large , our instantaneous speed will be less accurate,while if we keep the time interval as close to zero as possible, we will get instantaneous speed more closer to the accurate value....pls note in the example, in all the cases,we are only discussing about instantaneous speed at the same moment... Pls let me know if you have any questions...
@@EnjoyMath Thank you for your quick reply... I don't have any questions regarding this. I tried to give my view... Nothing more than that.... Thank you again...
Thank you so much for the appreciation!!! 👍👍👍 Well, in one line, one may say that differentiation is rate of change of a quantity with respect to another quantity.....
Hello, we are using 9.8 as acceleration due to gravity, however the formula is 0.5 x acceleration x t², so 0.5x 9.8 = 4.9....i have not shown this calculation in the video.... Pls let me know if you have any questions....
Great explanation but at 11s the instantaneous velocity is 107.8 m per s not 110 m per s. Apply the derivative of 4.9t2 is 9.8t. Thus at 11s it is 107.8. This can be calculated by 11.00001 to 11 s. but you rounded it off. Please recheck. It created a confusion for me. Thanks
Thank you so much for the appreciation!!! Yes, I have unwittingly rounded off the distance value at time= 11.00001 s. More accurately it should be 592.901078 I will pin this as a comment so that the confusion is cleared. Very Sorry to have created confusion for you
@@icchapakhi7417 h is a very very very small number... Like 0.000000004 .. A very small change in a variable is usually denoted as h in calculus... Pls let me know if you have any questions..
Thank you so much for your valuable feedback🙏🙏 It feels really nice. Your suggestion is very good sir. I actually started a Hindi youtube channel last year but have hardly put any content there due to time constraints. I would love to make hindi videos too..but I am not sure if viewers would want hindi and english videos in the same channel. But I will seriously think about your feedback sir . May be I can upload my english videos with hindi voice over. Pls let me know your opinion sir about this and thanks once again for sharing your feedback .🙏🙏👍👍
@@EnjoyMath Dear Ma'am, I am from South India, I would propose that using English language would be helpful for more people rather than using regional language. Thanks for the great content and your dedication ma'am!
Thank you so much for your appreciation. It's really very motivating. 🙏🙏 And thanks a lot for your valuable feedback. Yes your point is also very valid. Will keep that in mind.👍👍
Excellent My question is: In Your example around 6:50 min. you kept a small number of delta t which is 0.00001 But in the definition equation of a derivative they cancel h in the denominator for h in the numerator and then plug in zero for h(s) in the numerator. Like the 2nd example in the following link: ruclips.net/video/-aTLjoDT1GQ/видео.htmlsi=hrDAKwjD6e8CYkFl Can you clarify the difference in your example and that I mentioned above, Thanks
In my example, we have not yet derived the formula of derivatives....but use the literal meaning of rate of change of a quantity with respect to another quantity to find the derivative formula.....whereas in the video example you have mentioned, the derivative of the function is found using first principle by using the derivative formula..... While using the derivative formula, the main problem while solving is that h is zero ....and we get h in numerator and denominator...so usually we get indeterminate forms like 0/0...now if we want to find a determinate value of a derivative,we need to remove h, the root cause of indeterminate nature .....hence we device ways to do that and cancel h in numerator and denominator...and then we apply the limits in the derivative formula....so both the examples are different,because my example seeks to get the derivative formula whereas the video example you mentioned uses the derivative formula to find the derivative of a function.... Pls let me know if you have any questions....
@@EnjoyMath Great answer Do you agree with me that literal meaning you used looks more convincing and honest?: As how the "magic" formula is able to cancel the problematic h of denominator to find a suitable h in the numerator for almost all functions !!! This magic math allowed to replace 0 for h in almost all functions!!! I would appreciate if I could understand how the above math trick in the formula always works Thanks a lot
Sorry for the late reply.... Yes, indeed we can call it a 'magic formula'! I too find it amazing to see the indeterminate h getting cancelled and getting a determinate expression....I am not very sure all functions can be made determinate....our textbooks questions are carefully made in such a way that we are able to remove the indeterminate 'h'....but I am sure ,if we donot 'carefully' make these questions, the 'h' may not get cancelled .....such functions are actually not continuous functions...what is your opinion?
We have used the formula in physics - s= ut+(at²/2),here u=0,a=9.8 So on substituting above values we get s or y= 4.9t²... Pls let me know if you have any questions
jo final value nikali h wo value differentiation ka use kr ke nikal k dikhao tbi to formulas smajh aenge.........ab b ni pta chala differentiation k formula kaha use kiya h......final - initial hi krna h to differentiation k formula ko yaad krne ka kya faida....
Differentiation tab kaam aata hai jab Hume very small change of time mein,velocity ko calculate karna hai ....∆s/∆t when ∆t is tending to zero....normal velocity toh easily find kar sakte hai... instantaneous velocity ke liye differentiation bahut useful hai.....iss video mein bataya hai ki differentiation ka matlab kya hai...dy/dx means it is rate of change of a variable y for very small change in x.... Pls let me know if you have any questions..
Really good to know about your interest in learning! Differentiation is essentially finding the change in a quantity 'y' for a very very small change in quantity 'x'.... My suggestion would be that you can first learn about functions, then limits and continuity,and then come to differentiation...then it will be easier to understand terms like limits,functions etc... All the very best in your learning!! 😊😊👍👍👍
When you are running, the numerical variables here can be your speed, the distance travelled, the time taken for running...more speed, more distance travelled and less time taken taken...so depending on which variable is fixed, that can be made as independent variable....so for example, if we know that we are going to run for 5 km, then distance is the independent variable and speed and time will accordingly change...or else if we know that running speed is 20 km/hr, then speed is the independent variable... However , it's mostly safe to take time as independent variable because that's a quantity that is really independent of most of other quantities... Pls let me know if you have any questions...
Hello everyone, I have rounded off the distance value at time= 11.00001 s.
More accurately it should be 592.901078 and not 592.9011. pls make note.👍👍👍
Then the dy/dt=107.8
Thankyou for your valuable lesson.
@PrasannaprabhuVenkatesan thank you so much for the Appreciation... Really happy to be of help!! 😊😊👍👍
This is exactly which should be reached to the schools instead of just cramming things. Loved your work outstanding ✨👌🏼
Thank you so much for the wonderful feedback... delighted to read your comment...keeps me motivated!!😊😊👍👍👍
This is how every math topic should be taught, thank you!
@@MrStrangerr2002 thank you so much for the wonderful encouraging feedback!! Hope to continue making relevant and useful content !! 😊😊👍👍
I was looking for exactly this. Thanks a lot. Very well explained with real life examples.
That's great.... Really happy that you found the video useful..thank you so much for the appreciation !! 😊😊👍👍👍
Hi
Great explanation , very simple and clear backed by real life examples
Thank you so much for the wonderful comment . Glad that you found the video useful🙏🙏👍👍
Very well explained esp use of real life examples. Thanks a lot.
Really happy that you found the video useful.... thank you so much for the appreciation...means a lot 😊😊👍👍👍
Very good explanation. I appreciate.
Thank you so much for the wonderful comment..... really happy to be of help!! 😊😊👍👍
Ma'am you explained the meaning of differentiation in a very simple way .
Thanks
@@srishtigaba93 so delighted to read your awesome comment.... Thank you so much!! Very happy that you found the video useful!! 😊😊😊👍👍
The way you explain complex concept in a clear and simple words is great. I am also a Maths teacher and really appreciate your hard work and dedication towards your subject. I would suggest you to make videos on Mathematical jokes or daily conversation in terms of Maths. Humor is the best way to remove the fear of Maths. God bless you.
Thank you so much for the wonderful and motivating comment!! Really humbled and happy to get this appreciation from a teacher in the same field🙏🙏🙏 The idea of humour is really brilliant....I now recall my teachers too making the class more enjoyable by cracking jokes....yes, will definitely try this out ..thank you so much for the suggestion 🙏🙏
Really good content on your channel sir👍👍
I surprised, because such an explanation of this topic, only 1.5k views. U deserve more. U r great 👍
Thank you so much for that awesome motivating feedback ! Really means a lot!! Very happy to be of help 👍👍👍👍
Not sure how did you calculate speed at 11.00001 secs.If you calculate it it will be 107.80004 m/s and not 110 m/s?
@@arunahuja1839 hello,can u explain how u have got the speed value as 107.80004 m/s ?
Yes 100 percent
@@arunahuja1839 he is true if y= 4.9t^2 then dy/dx will be 9.8×t^2-1 = 9.8×t ,, t taken as 11 then we get 107.8 where u got at 11.01 so there might be wrong calculations done by u ( channel owner )
Excellent explanation. 👏👏👏
Thank you so much for the appreciation...very happy to be of help!!😊😊👍👍
BEST EXPLANATION OF DIFFERENCIATION ON RUclips 🔥🔥🔥
@@Its_bulma thanks a million for that awesome feedback!! Motivates me a great deal to continue making relevant content!! 😊😊😊👍👍👍
@@EnjoyMath You desrve alot of subs
Respect for you beautiful young lady ❤️🔥
@@Its_bulma thank you so much!! 😊😊😊
This was fantastic, I finally understand differentiation after years 😭😭
That's so good to hear!! I am really glad the video has helped u understand differentiation better...thanks so much the motivating feedback!! 😊😊👍👍👍
جزاک اللہ میم
Hello.I am sorry I am unable to read the script. Pls let me know the translated comment .Thank you 👍👍🙏
@@EnjoyMath God reward you
@@inmathsstar Thank you so much for this wonderful message!!! What a nice blessing to start the new month. Thanks a lot 🙏🙏🙏
@@EnjoyMath you welcome
Thank you madam....Your explanation was simple and clear with examples...
Thank you so much for the wonderful feedback!! Really happy that you found the examples and explanation easy 👍👍👍
Awesome explanation....keep rocking
That's so wonderful to read!!thank you so much for the appreciation!! really means a lot to me ...😊😊👍👍👍
Excellently explained ma'am..... expecting more videos of such kind from u
Thank you so much for the wonderful feedback, really means a lot!! Yes, will surely plan more such videos in future, if you have any topics in mind,pls do share👍👍👍
Your explanation is very good.
Thank you so much for the wonderful feedback!! Really means a lot !! 👍👍👍
Awesome, chhaa gaye 👏👏🙌
Bahut bahut shukriya itne awesome comment ke liye !! 😊😊😊👍👍
This is an amazing explanation, thank you!
Thank you so much for the wonderful comment!! Really glad to be of help 👍👍👍👍
Simply superb madam. 👏
Thank you so much for the wonderful comment!! Really means a lot !! very glad to be of help 👍👍👍😊😊
Beautiful mam....keep on
Thank you so much for the motivating comment!! Really means a lot to me !! V happy to be of help 👍👍👍👍
that was an excellent explanation
Thank you so much for the appreciation!! Very Happy that you found the video useful 👍👍👍
Very nice explanation.
Thank you so much for the appreciation!! Really means a lot 😊😊👍👍
Very well explained, crystal clear 👏
Thank you so much for the wonderful comment!! Really happy to be of help 😊😊👍👍
i have a doubt
at 4:59 shouldn't the instantaneous velocity be directly displacement by time and the time is 11s and thus velocity=592.9m/11sec
why did we take the rate of change?
Velocity defined as the rate of change of displacement....so
v= ∆s/∆t
Now, for instantaneous velocity,the ∆t is very small or almost close to zero....still we have to find ∆t.....that's where differentiation comes to picture because limit ∆t tends to zero, ∆s/∆t = ds/dt
Pls let me know if you have any questions...
Really great.
Thank you so very much for the wonderful comment and support 🙏🙏👍👍
Best explained
Thank you so much for the appreciation!! really means a lot!!😊😊👍👍
Nicely explained Ma'am. You just earned a subscriber 😊
Really delighted to read your wonderful comment!! Thank you so much for the encouragement!! 👍👍😊😊
Concept well explained 🎉
Thank you so much for the wonderful comment....glad to know that you found the video useful!! 😊😊👍👍
Excellent explanation ma'am
Thank you so much for the wonderful comment! Very happy to be of help 👍👍👍
@@EnjoyMath hay in which class are you studying currently
Hello Mam, I didn't understood how does h came into picture and tends to 0. how can we relate it with example.
Hello, h is a variable whose value is not zero,but is very very close to zero or tending to zero.
In the video example, we define velocity as the change in displacement ∆s ,with respect to change in time ,∆t . But as we choose time intervals closer to each other ,say 11.00001 and 11 ,then that ∆t becomes a number very very close to zero,though not perfectly zero. So in this example,∆t is like that variable h which also is present in the denominator and tends to zero.
Pls let me know if you have any questions....
@@EnjoyMath thank you mam for the explanation so it means i can take any variable.
Happy to be of help 👍 👍 definitely,we can take any variable instead of h....it's just that in some books, specific variables are used to maintain uniformity 👍👍
Really really very good thanks a lot
I am very happy that you found the video useful,thank you so much for the wonderful feedback 👍👍👍
Just one word excellent ❤
Thank you so much for the wonderful feedback!! Really means a lot!! 😊😊👍👍👍
@@EnjoyMath maam can you make a similar video for integration
@that.guy.09 yes , will try my best...will take some time,but will definitely make it...thanks a lot for the suggestion 👍👍👍
Super explanation
Thank you so much for the appreciation!! Really happy to be of help 👍👍👍
No doubt that was a great explanation, but I hope Differentiation could be little more easy to understand. Anyway it was the best explanation I've ever seen...
Thank you so much for the wonderful comment.... really delighted to read your feedback!! Yes indeed, differentiation is a bit different from what we have learnt till now...hence perhaps it takes a bit longer for us to grasp the concept....but it's amazing how the great mathematicians developed this branch called differential calculus....it's really an ocean...
Yes . I understand 🎉❤ thanks
Really happy that you have understood the concept ....thank you so much for the wonderful comment!! 😊😊👍👍
3:12 Can you please explain me that how you got y=4.9t^2 ? Btw nice explanation
@@UsernameXYZ947 thank you so much for the appreciation!! 😊😊👍👍
s=ut+1/2at², where s is displacement, a is acceleration due to gravity, u is initial velocity....
Here, u=0, a=9.8,
Therefore, s= 9.8t²/2
s= 4.9t²
Pls let me know if you have any questions...
@@EnjoyMathwell explained. Thanks
@bonnym.r.6572 thank you so much for the wonderful comment.. Really glad to be of help!! 😊😊👍👍
Wow❤mam wonderful
Thank you so much for the appreciation!! Really happy to be of help!! 😊😊👍👍
Good explanation
Thank you so much for the appreciation.... really happy that you found the video useful!! 😊😊👍👍
Thanks a lot
most welcome!! Really glad to be of help!! 😊😊👍👍
Excellent
Thank you so much for the appreciation!! 😊😊👍👍👍
how did you take or calculate y=4.9t^2 as gravity is 9.8 m/s^2
@@legendkaiyt s=ut+1/2at²
Here, u=0, a=9.8,
Therefore, s= 9.8t²/2
s= 4.9t²
Pls let me know if you have any questions...
Wow❤
Thank you so much for the appreciation!!! 👍👍👍
Speed in the time interval 11 to 11.1 is 108 m/s
11 to 11.01( closer to 11s) is 107.85m/s
11to 11.00001 ( more closer) is 110m/s
I think when move close to 11, it should be lesser, why speed has increased.
Velocity is directly propotional to gt
Yes,you are right... actually I have approximated the speed value ...it should be 592.901078 and not 592.9011 ....so 592.901078-592.9= 0.01078 which divided by 0.00001 gives 107.8 and not 110....pls see my pinned comment...pls let me know if you have any questions...
Nice video & very good presentation! I presume the equation y = 4.9t ^2 is derived from separable ODE. dy/dt = g t when integrated becomes Y = g t^2/2 + C . Am I right ?
Thank you so much for the wonderful comment... really keeps me motivated!! This equation is from the equation s= ut+1/2at²...here u=0,hence we got u=1/2at², here a=g=9.8, therefore u= 4.9at²,pls let you know if you have any questions...
@@EnjoyMath thank you Priya and greatly appreciate your response !
@rajithajay7595 most welcome!! 😊😊
I think s=1/2at.t rather
Yes,it's the same expression 👍👍
Thank u mam
😊
@@Aditisharwan most welcome!! Happy that you found the video helpful!! 😊😊👍👍👍
@@EnjoyMath mam please keep on making such videos
Really helps ❤️
Thank u for taking my comment into consideration ✨✨
@@Aditisharwan thanks a lot...yes, will keep trying my best...Comments like yours are the best reward and motivation for me.... 😊😊😊
Thank you ❤️ so much miss
Most welcome!! really so happy to be of help!! 😊😊👍👍
Amazing
Thank you so much for the encouraging feedback, very happy to be of help 👍👍👍
Hi Priya, it’s me again. Like others I am not from Maths background but I am very much interested to learn some topics in Maths including Differentiations and Calculus and Integrals. I came across your video which is quite impressive. In this video till the end your explanation was very clear to understand but all of a sudden you explained about the equation, which may be I couldn’t grasp it. How to understand the equation, can you please tell me or send me the link where I can watch and learn more about it. If I do not understand the basic then I cannot understand anything related to the subject. I hope you will help me with that. Thanks
So nice to hear from you again.... thank you for the feedback!! Can you just give me the timestamp of the equation you did not understand? I will then try to explain it...
@@EnjoyMaththe last expression that you mentioned F(x+h)-F(x)
@@Aryan-rt2fo yes, what doubt do u have?
@@EnjoyMath Like mam could you explain that equation a little bit more how it came when limits h tends to zero , why it is F(x+h) - f(x) ?? Just want to understand that equation
@Aryan-rt2fo f(x) is any function, and h is a very very very small change in x...we want to find out that when there is a very small change in x value, i.e. x+h then what is the corresponding change in the function ...so for x+h the function will be f(x+h)...now the difference will be f(x+h) - f(x) ...this difference tells us the change in f(x) when x changes by a very small value of h...and f'(x) =( f(x+h) - f(x))/h , as h tends to 0...
Pls let me know if you have any questions...
धन्यवाद
Most welcome!! Thank you aapke comment ke liye😊😊👍👍
Thank you so much 👍
Most welcome!! Really happy that you found the video useful 👍👍👍👍
3:11 it'll be 0.49t² na, mam?
Hello, y formula is 1/2 at^2, a is 9.8, and 9.8/2= 4.9
Hence y= 4.9t^2
Pls let me know if you have any questions
@@EnjoyMath oh I thought 2 as 20 mam cuz there's written "stone reaches the ground in 20s" and 9.8/20 = 0.49
so yeah, ty mam
Most welcome 👍👍👍
Question. How many Numerals/numbers are present between 1 and 1.1?
There are infinite numbers between 1 and 1.1....
@@EnjoyMath Hence it not possible to know the exact value of the number which is closest to / just next to 0. So, In differentiation when the denominator (delta x) tends to 0 and correspondingly the Numerator, its function (delta y) must also be tending to some number. That value of the (delta y) is called as the 'limiting value'.
dy/dx then means : the limiting value of the function divided by (delta x) as it tends to 0. We do not know the exact values of neither the numerator nor the denominator. But still the limiting value is considered/picked/accepted because we *don't* know what number falls immediately afterwards 0.
I think that students don't understand dx or the concept of variable tending to another number (eg x->0) because they fail to realise that there are inifinite numbers between *ANY* two given numbers.
Also, the best way to deal with this uncertainty is to have faith in god and admit how limited our knowledge is.
@@EnjoyMath Just as we don't know whats larger than the largest (Universe). Likewise we also don't know whats tinier than the tiniest(eg.Sub atomic particle electron)
Wow...your explanation and point of view reflects the deep thinking you have done on this topic....you have just explained the very vital truth that all students should appreciate....the universe out there is beyond our limited levels of thinking....it's very humbling and liberating too...
If student and teacher both interact with this truth in mind that they both are in the same boat...that both are eternal students in this school of life....then education would be so much more interesting and enjoyable...
Thank you so very much for sharing your wonderful thoughts!! Really appreciate it !! 😊😊👍👍👍👍
@@EnjoyMath Thank you so much. Hare Krishna.
good job
Thank you so much for the appreciation!! 😊😊👍👍
Is h and t same?
Yes, absolutely right....in our example ,the time is changing by a very very very less value,so in our example,time or t takes the place of h.... pls let me know if you have any questions....
Where did the 4.9 come from
1/2* 9.8= 4.9 where 9.8 is acceleration due to gravity,pls let me know if you have any questions...
Thats means the answers we het using differentation is for small interval then it is not exact it is approximate. But we work at rockets speed we even. 0.00001 sec matters how do they calculate it
The answers we get from differentiation are quite accurate,not approximate,and hence useful in space calculations....pls let me know the reason why it appears to be approximate value....
@@EnjoyMath oh Thankyou for the info then we can use in space calculation wow great but will there be any micron difference in exact answer and answers we from differentiation
Most welcome!! Yes, maybe there will be micron difference...it's a good question....I am not that aware of how the scientists take care of any micron differences that may arise...I have heard that they do take in to account for the human and mathematical approximations in their calculations...but I don't know the details...if any of our viewers know about it...pls do share in the comments section 👍👍👍
@@EnjoyMath We are third party' design small components for private jet body parts I don't do manual calculation but we use software for design and measuring the distance and gaps even if there is a 0.001 difference or gap they will not accept that will lead to air leak and pressure difference ultimately lead to damages or wrost cases blow out the chamber
Wow...that's really awesome information..thanks!!
I think the differentiation concept is in the software code....
Excellent explanation and easy to understand for a beginner but I found small error in your explanation, in general digits after decimal has to be said separately not as double zero, double zero, one. Thanks
Thank you so much for the appreciation!! Really means a lot....yes, i accept the points you have mentioned...thank you for the feedback,will keep them in mind while making future videos 👍👍👍👍
I didn't got how y=4.9 t multipled t . In detail
s=ut+1/2at², where s is displacement, a is acceleration due to gravity, u is initial velocity....
Here, u=0, a=9.8,
Therefore, s= 9.8t²/2
9.8/2=4.9
s= 4.9t²
Pls let me know if you have any questions...
I have a doubt...
At 11.1 s the instantaneous speed is 108.29 m/s
At 11.01 s it is 107.85 m/s
But, at 11.00001 s it is 110 m/s which is, in my view, wrong because as the time decreases the instantaneous velocity should decrease...
So, it should be less than 107.85 m/s...
Correct me if I'm wrong...
As per the calculations in the example,
593.9785-592.9= 1.0785
That is divided by the time interval
11.01-11= 0.01
1.0785/0.01= 107.85 m/s
I think actual instantaneous speed at a given moment is same...now the question is how accurately we capture its value....if we keep the time interval large , our instantaneous speed will be less accurate,while if we keep the time interval as close to zero as possible, we will get instantaneous speed more closer to the accurate value....pls note in the example, in all the cases,we are only discussing about instantaneous speed at the same moment...
Pls let me know if you have any questions...
@@EnjoyMath Thank you for your quick reply... I don't have any questions regarding this. I tried to give my view... Nothing more than that.... Thank you again...
@@bhavi9891 really appreciate your out of box thinking.... curiosity about things is the best way to learn and understand 😊😊👍👍
Very good
Thank you so much for the appreciation!! 😊😊👍👍
That's awesome but how could I explain it in 1 line for my teacher.
Thank you so much for the appreciation!!! 👍👍👍
Well, in one line, one may say that differentiation is rate of change of a quantity with respect to another quantity.....
@@EnjoyMath thanks
Why we using y is 4.9 y we can take 9.8
Hello, we are using 9.8 as acceleration due to gravity, however the formula is 0.5 x acceleration x t², so 0.5x 9.8 = 4.9....i have not shown this calculation in the video....
Pls let me know if you have any questions....
Y we have to take the 0.5 ×g for what purpose if we need take gravity means 9.8 is enough bu y we using this
@@MohanKumar-ym1hx the formula is s= ut+1/2 at², u=0
So a= 1/2at², 1/2= 0.5, here a is the gravity g
Great explanation but at 11s the instantaneous velocity is 107.8 m per s not 110 m per s. Apply the derivative of 4.9t2 is 9.8t. Thus at 11s it is 107.8. This can be calculated by 11.00001 to 11 s. but you rounded it off. Please recheck. It created a confusion for me. Thanks
Thank you so much for the appreciation!!!
Yes, I have unwittingly rounded off the distance value at time= 11.00001 s.
More accurately it should be 592.901078
I will pin this as a comment so that the confusion is cleared. Very Sorry to have created confusion for you
NCERT Book miscellaneous exercises or exampler Book Didi jee 🙏🏼🙏🏼
Sure, kaunse chapters ?
Easily taught with Good Example as With Y as function .
Thank you so much for the wonderful feedback.... really means a lot!! Very happy to be of help!!😊😊👍👍
The even closer value is 107.8 m/s
At time=11.0000001 second
Yes,you are correct....I have taken approximate value....have mentioned in the pinned comment 👍👍
What is h?
@@icchapakhi7417 h is a very very very small number... Like 0.000000004 .. A very small change in a variable is usually denoted as h in calculus... Pls let me know if you have any questions..
damn this was smart!
Thank you so much for the awesome comment!! Really glad to be of help 😊😊👍👍👍
Pls complete XII class maths along with XI class MAThs didi jee 🙏🏼🙏🏼
Yes sure, which topics of class 12 math you want videos on ? 👍👍👍
Dear Ma'am,
If you explain in both hindi & English languages then more users can join your Tallent. Thanks
Thank you so much for your valuable feedback🙏🙏 It feels really nice.
Your suggestion is very good sir. I actually started a Hindi youtube channel last year but have hardly put any content there due to time constraints. I would love to make hindi videos too..but
I am not sure if viewers would want hindi and english videos in the same channel. But I will seriously think about your feedback sir . May be I can upload my english videos with hindi voice over. Pls let me know your opinion sir about this and thanks once again for sharing your feedback .🙏🙏👍👍
@@EnjoyMath Dear Ma'am,
I am from South India, I would propose that using English language would be helpful for more people rather than using regional language.
Thanks for the great content and your dedication ma'am!
Thank you so much for your appreciation. It's really very motivating. 🙏🙏
And thanks a lot for your valuable feedback. Yes your point is also very valid. Will keep that in mind.👍👍
Excellent
My question is:
In Your example around 6:50 min. you kept a small number of delta t which is 0.00001
But in the definition equation of a derivative they cancel h in the denominator for h in the numerator and then plug in zero for h(s) in the numerator. Like the 2nd example in the following link:
ruclips.net/video/-aTLjoDT1GQ/видео.htmlsi=hrDAKwjD6e8CYkFl
Can you clarify the difference in your example and that I mentioned above,
Thanks
In my example, we have not yet derived the formula of derivatives....but use the literal meaning of rate of change of a quantity with respect to another quantity to find the derivative formula.....whereas in the video example you have mentioned, the derivative of the function is found using first principle by using the derivative formula.....
While using the derivative formula, the main problem while solving is that h is zero ....and we get h in numerator and denominator...so usually we get indeterminate forms like 0/0...now if we want to find a determinate value of a derivative,we need to remove h, the root cause of indeterminate nature .....hence we device ways to do that and cancel h in numerator and denominator...and then we apply the limits in the derivative formula....so both the examples are different,because my example seeks to get the derivative formula whereas the video example you mentioned uses the derivative formula to find the derivative of a function....
Pls let me know if you have any questions....
@@EnjoyMath Great answer
Do you agree with me that literal meaning you used looks more convincing and honest?:
As how the "magic" formula is able to cancel the problematic h of denominator to find a suitable h in the numerator for almost all functions !!!
This magic math allowed to replace 0 for h in almost all functions!!!
I would appreciate if I could understand how the above math trick in the formula always works
Thanks a lot
Sorry for the late reply....
Yes, indeed we can call it a 'magic formula'! I too find it amazing to see the indeterminate h getting cancelled and getting a determinate expression....I am not very sure all functions can be made determinate....our textbooks questions are carefully made in such a way that we are able to remove the indeterminate 'h'....but I am sure ,if we donot 'carefully' make these questions, the 'h' may not get cancelled .....such functions are actually not continuous functions...what is your opinion?
From 5 chapters sai didi jee. My mathematics is not strong. I am from j.k. where coaching is not available easily Didi jee.
Sure, I will try my best to make the videos....no problem...daily and correct practice is all that is needed to become strong in math 👍👍👍
why is y=4.9 t^2?
We have used the formula in physics -
s= ut+(at²/2),here u=0,a=9.8
So on substituting above values we get
s or y= 4.9t²...
Pls let me know if you have any questions
may god bless you
Thank you so much for the wonderful wishes !! 😊😊👍👍
You called me your friend more times than all my friends in the last like 10 years 😢
Thank you so much for the moving words...it's reality that we are all part of one big universal family 😊😊😊👍👍👍
jo final value nikali h wo value differentiation ka use kr ke nikal k dikhao tbi to formulas smajh aenge.........ab b ni pta chala differentiation k formula kaha use kiya h......final - initial hi krna h to differentiation k formula ko yaad krne ka kya faida....
Differentiation tab kaam aata hai jab Hume very small change of time mein,velocity ko calculate karna hai
....∆s/∆t when ∆t is tending to zero....normal velocity toh easily find kar sakte hai... instantaneous velocity ke liye differentiation bahut useful hai.....iss video mein bataya hai ki differentiation ka matlab kya hai...dy/dx means it is rate of change of a variable y for very small change in x....
Pls let me know if you have any questions..
Same voice of the channel (don't memorise)
Really??? I will take it as a compliment!!! 😊😊
Apply the formula s =ut +1/2at^2 with u=0
Absolutely 👍👍
Madam ede matter telugulo kavali
Hello,sorry ,I am not that fluent in telugu...can u reply again in another language
@@EnjoyMath i want this same topic in telugu
Oh, really Sorry, I don't know Telugu that well 🙏🙏🙏
I completed my graduation and currently doing a job and now i got to know what is differentiation 😂😂
V interesting to read your witty comment!! 👍👍
Does your line of work use differentiation or calculus?
@@EnjoyMath no i was just curious 😄
That's excellent!! Great going !! 👍👍👍😄
Not helped, not understood
@@shk009 sorry that it's not helped you🙏🙏🙏 which part of differentiation do you find difficult?
It confused me more😢
@@phantomagent7 sorry to know about that...
@@EnjoyMath actually I am in class 8 but I wanna know it
But it feels too complicated
Really good to know about your interest in learning! Differentiation is essentially finding the change in a quantity 'y' for a very very small change in quantity 'x'....
My suggestion would be that you can first learn about functions, then limits and continuity,and then come to differentiation...then it will be easier to understand terms like limits,functions etc...
All the very best in your learning!! 😊😊👍👍👍
Jesus Christ.......maths is utter nonsense.
It's really sad that you feel that way...but I do understand your point of view....math can get in to our nerves....
Does your running is function.? What is independent variable in this respect..
When you are running, the numerical variables here can be your speed, the distance travelled, the time taken for running...more speed, more distance travelled and less time taken taken...so depending on which variable is fixed, that can be made as independent variable....so for example, if we know that we are going to run for 5 km, then distance is the independent variable and speed and time will accordingly change...or else if we know that running speed is 20 km/hr, then speed is the independent variable...
However , it's mostly safe to take time as independent variable because that's a quantity that is really independent of most of other quantities...
Pls let me know if you have any questions...
@@EnjoyMath distance covered s is funtion of time t.so independent variable.I like your explaination!
Thank you so much!! Really happy to be of help!! 😊😊👍👍
@@EnjoyMath yes,May you remain happy.
@@EnjoyMath How can you explain rotation of earth in term of function.show numerical relation between independent and depependent variables.