Interpolation Formula - Stirling, Gauss Forward & Backward, Bessel's | Example & Solution

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  • เผยแพร่เมื่อ 19 ต.ค. 2024

ความคิดเห็น • 420

  • @gajendrapurohit
    @gajendrapurohit  4 ปีที่แล้ว +64

    Thanks for your comment, your appreciation always motivate us to do such kind work.
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    • @ssonssomumbai6263
      @ssonssomumbai6263 4 ปีที่แล้ว

      Sir to the point teaching. Loved your way of teaching. Want to say you that while teaching you are getting short of breath please take care of your health too. We students need you.

    • @riyapatni1459
      @riyapatni1459 4 ปีที่แล้ว

      First of all, I want to thank you sir, your videos are really helpful. Secondly, I want to draw your attention to the solution by bessel formula, while drawing out the value of f(9), when the last entry was assumed to be zero, the average became 5 which caused error in calculation, instead if we completely ignore it and solve taking only one value, i.e.10, we get the correct answer.... Can you please clear my doubt... Thanks in advance 🤗

    • @elitegamerpro5148
      @elitegamerpro5148 3 ปีที่แล้ว

      sir you are amazing..😊😊
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    • @ananj.5600
      @ananj.5600 3 ปีที่แล้ว

      Sir Bessel formula Mai ...[ u-¹2 ] kaise Aya .....????

    • @theHinduPoint
      @theHinduPoint 2 ปีที่แล้ว

      Dhanyawad purohit sir 🙏🙏.
      May god bless you sir & you live long 🙏

  • @XtanNiCk
    @XtanNiCk 4 ปีที่แล้ว +145

    I watched your videos 4 hours before examinations at 1.75x speed. Thankyou for because of you I cleared my exam.

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      @san-mg8hk ปีที่แล้ว +4

      Us moment

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      @user-tr3vo8bm5c ปีที่แล้ว +9

      Mera exam kl h😂aur abhi 2x pe dekhra hu

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      @gulnajparwin2444 ปีที่แล้ว +5

      1.75x🤣🤣🤣kuch v bol diya

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      @neelneel2352 ปีที่แล้ว

      Same condition 🙂

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      @eminence_Shadow ปีที่แล้ว +1

      ​@@neelneel2352 back ayegi teri

  • @dharvikaur479
    @dharvikaur479 3 ปีที่แล้ว +30

    Sir, the clarity in your teaching is commendable.....these concepts can be confusing but you explained them perfectly!

  • @Singer_Says
    @Singer_Says 5 ปีที่แล้ว +59

    Thank you so much sur ji , i cover my whole sylabbus of unit test in just 3 videos ,thabk you so much sir thank you

    • @superhumanoid9930
      @superhumanoid9930 2 ปีที่แล้ว +1

      Tum kitna galat typing krte ho yaar khair....bhawana samjh aa gyi keep supporting GP Sir 💐💐

  • @Ride.Revolution98
    @Ride.Revolution98 2 ปีที่แล้ว +13

    Respect sir,
    A wholeheartedly thanks 🙏,
    I am a student of b. Sc 3rd year. Taking lot's of tution from different teacher but your teaching technique is just awesome even I can't express it in words. I have been looking for a teacher like you. You're doing such a great job for poor students even for all students. My exam is on 3rd of June I was looking a video for revision and found you. Such a legend I ever found in social media Or in real life. There isn't a good teacher for maths in Ranchi am not comparing you with others. But sir really you're great.

  • @AshokKumar-qt5td
    @AshokKumar-qt5td 4 ปีที่แล้ว +65

    आपके पास मेहनत है, शालीनता है, अभिव्यक्ति है, स्पष्टता है, ज्ञान है, समर्पितता है, और हमारे पास आप है।
    गुरुदेव

    • @kaushikvishwas_0209
      @kaushikvishwas_0209 3 ปีที่แล้ว +1

      😵😭

    • @prakashbairad9780
      @prakashbairad9780 3 ปีที่แล้ว +3

      अद्भुत अविश्वसनीय अकल्पनीय शिक्षक💚

  • @aritramukhopadhyay435
    @aritramukhopadhyay435 3 ปีที่แล้ว +16

    Sir I think there is one mistake. In Gauss Forward method in the third term you missed to multiply 0.25.
    It should have been (0.25*(0.25-1)*(-5))/2! .

  • @eshaangupta4101
    @eshaangupta4101 4 ปีที่แล้ว +16

    Appreciate the quality of the content.

  • @harshitpandey6668
    @harshitpandey6668 4 ปีที่แล้ว +6

    finally found something great on youtube....excellent sir...best NA taught by any1

  • @tanveerakram9688
    @tanveerakram9688 5 หลายเดือนก่อน +1

    Great explanation, sir... Thankyou so much for your efforts! 👍

  • @mayankkumrawat786
    @mayankkumrawat786 3 ปีที่แล้ว +28

    Had i got such a quality content 6 years back, i would have cracked IITJEE.
    Thank you so much sir, your effort helps even Third Year Chemical Engineering students too 😁(guess what I'm studying 😅)

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      @nks47 3 ปีที่แล้ว +13

      Bete ye iit jee me nhi h

    • @user-kt3mb8ug8r
      @user-kt3mb8ug8r 2 ปีที่แล้ว +3

      @@pro-hobbyist120 tbh I had a maths teacher who couldn’t get into a iit just cuz of chemistry but was brilliant at maths..

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      @cocobean.72 2 ปีที่แล้ว +1

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      @koli_samaj1204 ปีที่แล้ว +1

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    • @ankitdadarwal192
      @ankitdadarwal192 ปีที่แล้ว +1

      @@koli_samaj1204 I am student of IIT Roorkee. We also study from Sir for our exams. His work is commendable

  • @I.mmanas
    @I.mmanas ปีที่แล้ว +6

    In a very short time 😮 Sir has covered many huge topics👌..
    Thankyou 🙏🏻🙏🏻🙏🏻 Sir

  • @pranavkumar8090
    @pranavkumar8090 2 ปีที่แล้ว +15

    There is one mistake in finding f(9) through Gross forward method. one value of u is missing in calculation

  • @sumitupadhyay1060
    @sumitupadhyay1060 2 ปีที่แล้ว +2

    Watched your videos only three days before exams.....and able to attend 50marks paper out of 70 very thankful to you and your videos helped a lot...

  • @RenuSingh-zu4ub
    @RenuSingh-zu4ub 3 ปีที่แล้ว +1

    Best teacher for numerical analysis. As I have taken lecture of many teachers but while doing questions I got confuse in each and every formula so not able to solve it. But after seeing your lectures I am able remember all formula as the way you shown graph in table I am easily remembered all formula and able to solve questions.
    Thanks sir.

  • @muhammadmuneeb2378
    @muhammadmuneeb2378 4 ปีที่แล้ว +7

    You are doing an amazing and appreciated effort to teach such things in a very nice and calm manner , that is the level of teaching what we as students are searching and digging the web and such platforms likewise.
    My question is that, How to find central difference given a range where the number is required is between, above and below the given range?

  • @softdnyan7776
    @softdnyan7776 2 ปีที่แล้ว +1

    Thanks Sir Your Are helping me better in Engineering Mathematics 3 In university Exam ...

  • @Mahadev0309
    @Mahadev0309 5 หลายเดือนก่อน

    Thank u so mch sir... Yesterday was my Complex Analysis exam and I have completed your complex analysis playlist video one day before examination and all questions were aksed in my paper was from uor video.. Thanks a lot sir..And tomorrow is my numerical anlaysis exam😇

  • @bijoymondal3353
    @bijoymondal3353 ปีที่แล้ว +1

    Sir Thank you for your all vedios its very helpful for myself

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    @insanedarksider785 ปีที่แล้ว +2

    Just found the best teacher on youtube for Numerical Analysis

  • @vishnuvardhan7055
    @vishnuvardhan7055 ปีที่แล้ว +1

    Tq sir because of you i studied whole numeric methods ❤❤

  • @bharathnani2803
    @bharathnani2803 3 ปีที่แล้ว +6

    Sir, what if x terms are even ?. Which value we need to consider as a base value ?.

  • @shifakhan-lu3gk
    @shifakhan-lu3gk ปีที่แล้ว +1

    Sir isme center ko hi y0 manege ya fir jiski value nikalni ho uske upr bale ko y0 man sakte ?

    • @Mohit_2367
      @Mohit_2367 ปีที่แล้ว +1

      Jiski nikalni ho uske pass wali Leni hoti hai shayad

    • @shifakhan-lu3gk
      @shifakhan-lu3gk ปีที่แล้ว

      Conform batayen

  • @mohsinalich7078
    @mohsinalich7078 3 ปีที่แล้ว +8

    Im going to have final exam in two days, and watching this.. helping me alot .
    Appreciations sir✌️
    From 🇵🇰

  • @abhinegi1241
    @abhinegi1241 ปีที่แล้ว +1

    Worth it to watching your videos

  • @payalpundir4360
    @payalpundir4360 ปีที่แล้ว +1

    Thank you so much sir.....
    It's very useful and the sense of teaching is awesome.

  • @aasthapant6640
    @aasthapant6640 2 ปีที่แล้ว

    Sir your video is very usefull for me......sir plzz stirling formule m calculator se calculate krne m values kabhi kbhi glt aa ja rahi h.....plzz sir I humble request for you that.....ek sintific calculator use Krna ek baar aur bta dijiye .....sir

  • @sunameher7724
    @sunameher7724 6 หลายเดือนก่อน +1

    Thank you sir
    Most helpful video for us🙏

  • @kanhucharanmahankuda6792
    @kanhucharanmahankuda6792 2 ปีที่แล้ว +1

    Thank you very much sir , your explanations are mind blowing , But it would be very nice if you would take some digital board to explain all ur lessons.

  • @sankalpjha5383
    @sankalpjha5383 7 หลายเดือนก่อน

    Thank you very much sir for teaching like this effortlessly.
    I understood easily what you taught 🙏🏼🙏🏼🙏🏼

  • @Mathematics-jd8ql
    @Mathematics-jd8ql 5 หลายเดือนก่อน +1

    Thanks for your help sir ❤

  • @neerajgupta455
    @neerajgupta455 5 ปีที่แล้ว +12

    How to know the centre when there are even number of values

  • @prashantthakur9848
    @prashantthakur9848 ปีที่แล้ว +1

    thank you so much gp sir, your videos are really life saver in last moments

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    @premanand_ji_ladli-LaL 5 หลายเดือนก่อน +1

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  • @tabassumkhan8844
    @tabassumkhan8844 2 ปีที่แล้ว

    Sir aap bhut ache se concept clear krte h so Sir plz competitive exam ke purpose se bhi bnayiye na in topic pr videos.

  • @sawanteotia652
    @sawanteotia652 3 ปีที่แล้ว +5

    Just fabulous!!!

  • @tanujoshi5656
    @tanujoshi5656 2 ปีที่แล้ว +1

    Sir thanku for your teaching.

  • @navneetsingh9024
    @navneetsingh9024 10 หลายเดือนก่อน

    Thanks a lottt... Sir you helped a lot , especially in exam times...

  • @azeemch4171
    @azeemch4171 4 หลายเดือนก่อน

    You are the best teacher in the world 🌎

  • @AyushPrajapati-u8s
    @AyushPrajapati-u8s 2 หลายเดือนก่อน

    Best explanation of these topics at you tube is here 😊

  • @sanjanasanju9399
    @sanjanasanju9399 3 ปีที่แล้ว +1

    Sir you you teach as one of most best teacher... 🙏

  • @thesecretsuperstar1490
    @thesecretsuperstar1490 2 ปีที่แล้ว +1

    Thank you sir for numerical analysis playlist

  • @er.udaybhanthakur
    @er.udaybhanthakur 3 ปีที่แล้ว +1

    Thanking you so much sir ..for making formulae easy.......

  • @RahulKumar-dy2pk
    @RahulKumar-dy2pk 5 ปีที่แล้ว +1

    You are awesome you are tricks techniques and pedagogy is classic. I have no particular word to express you.

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    @ritukhatri1332 3 ปีที่แล้ว

    Sir you are amazing.. First of all.. Your videos has very short duration.. And your things are just to the topic... No bakwaas.... Direct muddhe or😊😊😊😊

  • @aruneshnaha4113
    @aruneshnaha4113 2 ปีที่แล้ว

    everything is good sir but speed is a little high... I'm watching everything at 0.75x speed and at full screen cz the clarity is important at each and every moment of the video... thankfully you uploaded at 1080p cz otherwsie concepts would'nt have been crystal clear actually... Anyways thank you Sir for all your work... Love and respect a million times...

  • @lofiexpo888
    @lofiexpo888 2 ปีที่แล้ว

    Sir love u ho gya, kal exams hai, or ma jst ap ky khi time sa lec sn rha, bht mzy ka smjty ap☺☺☺😍

  • @IntelligentEra
    @IntelligentEra 3 ปีที่แล้ว

    Thanks sir aapki vajah se Bsc maths me bahut help mili he.
    Aapki videos dekh kar hi sab pad ke jata hu .

  • @seemaKumari-sb7ie
    @seemaKumari-sb7ie 3 ปีที่แล้ว +2

    Thanku sir for lecture explain

  • @ghodasarakantilal5463
    @ghodasarakantilal5463 3 ปีที่แล้ว +1

    I think we can use La Grange interpolation formula on that Gauss example as we reduce interval 0-8-14 we got answer 33.45 something...
    La Grange formula is use for equal as well as unequal interval

  • @rahulnigam4575
    @rahulnigam4575 3 ปีที่แล้ว

    Sir you are great ! Your strategy to make these vedio is fabulous. But Sir I have a confusion in this vedio, related to these formula ! In this vedio you solved one question by using Gauss (Forward and backward), Stirling and Bessel formula. But the answer of this question was also solved using Newton's (Forward and backward) formula , then why we are studing and using these extra formula instead of Newton's(Forward and backward) formula ? Sir please give your comment on this problem!

  • @omniwasnayaktomar9465
    @omniwasnayaktomar9465 3 ปีที่แล้ว

    Sir jis energy or hard work s pdhare ho n... excellent sir 👍✌️✌️ thanks a lot sir🙏🙏

  • @shubhambhatt2704
    @shubhambhatt2704 2 ปีที่แล้ว +2

    Too the point. Thanks a lot

  • @visheshsingh16
    @visheshsingh16 ปีที่แล้ว

    thank you so much sir , your video made CBNST so simple

  • @madhavilatha4408
    @madhavilatha4408 3 ปีที่แล้ว +2

    Very nice explanation thank you sir

  • @story_blocks-t1j
    @story_blocks-t1j ปีที่แล้ว +1

    Thanku sir 😊

  • @yanshigupta9235
    @yanshigupta9235 ปีที่แล้ว

    Thnk uh so much sir for these videos, make the clearity to clear my problem 🙏🙏
    Again thank uh sirji❤

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    @nainamalviya8384 5 หลายเดือนก่อน

    Thankyou so much sir jii😊😊 all the videos are Amazing and I understand every topic by only your videos 😊😊 thankyou so much sir ji ❤❤

  • @er.shahidrashid4149
    @er.shahidrashid4149 5 ปีที่แล้ว +2

    #AMAZING
    #Got it Sir!
    #Thank_you Sir 💝💝💝💖💕👍👍👍👍✊✊✊👌👌👌👌👌👍👍👊👊👊👏👏👏👏👏

    • @gajendrapurohit
      @gajendrapurohit  5 ปีที่แล้ว

      Thanks for your comment, your appreciation
      always motivate us to do such kind work.
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  • @anjaligupta9213
    @anjaligupta9213 4 ปีที่แล้ว

    Very very helpful vidio sir thnku so much nd I've shared this video with my all frnds. U r the best teacher. Thnx again 😊🙏... ❤

  • @rahulchoudhury3254
    @rahulchoudhury3254 3 ปีที่แล้ว +1

    Thank you sir for uploading these video lectures. Looking forward to more videos🙏🙏🙏

  • @curiousbud2366
    @curiousbud2366 5 ปีที่แล้ว +2

    Tons of Thanks sir
    Exam after 1 day,ur lectures are helping alot
    Please also make questions from basics upto gate level

  • @randhirsaroya8488
    @randhirsaroya8488 3 ปีที่แล้ว

    Thankyou very much sir ji,last one year I prepare math's to your TH-cam channel

  • @lavsharma2646
    @lavsharma2646 2 ปีที่แล้ว

    Thanx to much sir 🙏
    I clear all doubts regarding that's problem .
    You are great sir . ❤

  • @sachinbhambhu8868
    @sachinbhambhu8868 2 ปีที่แล้ว +1

    Thnqq sir jii.........🙏🙏🙏🙏🙏

  • @Anjanbiswas003
    @Anjanbiswas003 ปีที่แล้ว +1

    Thank you sir

  • @Celebrity_arpit
    @Celebrity_arpit 3 ปีที่แล้ว +2

    Appreciated...Aap hmlog ke liye bhoot effort lgaate hai.. Thank you Sir💛✨✨

  • @janhvinarayan1633
    @janhvinarayan1633 13 วันที่ผ่านมา

    sir aapne odd no. of observations ke liye bata diya, agar even no. of observations honge too kya hoga, aap plz saare cases cover kiya kariye

  • @lucifermorningstar7667
    @lucifermorningstar7667 3 ปีที่แล้ว

    All video are good sir thanku sir

  • @milankumar2353
    @milankumar2353 4 ปีที่แล้ว

    teaching technique is awesome

  • @kanikarathore1591
    @kanikarathore1591 4 ปีที่แล้ว

    Sir humare sir ne smjhaya ye topic pr kuchh bhi smjh nhi or aane smjhaya to bhut ache se smjh aa gya

  • @bushrakamal2064
    @bushrakamal2064 5 ปีที่แล้ว +1

    Thanks aap ne mari bahut help ki h

  • @RandomClipsForMe
    @RandomClipsForMe 4 ปีที่แล้ว

    Thanks sir 4 such a nice video. Which is freely available on you tube

  • @asthatewari2830
    @asthatewari2830 5 ปีที่แล้ว +2

    If in a ques X= 1 2 3 4 n we have to find f(2.5) which value will we choose as X0 for gauss forward or gauss backward??

    • @Karan-dp6of
      @Karan-dp6of 5 ปีที่แล้ว

      Astha Tewari 2

    • @shivamshrivastva4126
      @shivamshrivastva4126 5 ปีที่แล้ว +1

      You can take 3 as y0

    • @shivamshrivastva4126
      @shivamshrivastva4126 5 ปีที่แล้ว +1

      And we don't take middle value, we take those value which is nearly..,..
      And if you take any value it will give same value but while forward process take nearer greater value which is asked..

  • @ragnarkasnia
    @ragnarkasnia 2 ปีที่แล้ว +1

    Which value be assigned as central value if we are given with even enteries. In this particular example due to 5 enteries it becomes very natural to take third entry as central value. I will be very grateful if someone address my query!

  • @akashk2824
    @akashk2824 4 ปีที่แล้ว +1

    Thank you sir . Your class made my exams clean.

  • @nishakitchenpro5326
    @nishakitchenpro5326 4 ปีที่แล้ว

    Sir you are great tacher 👍👍👍 ache se clear ho gaye sare topic 👍👍

  • @avinashlodha2993
    @avinashlodha2993 9 หลายเดือนก่อน

    You teach very amazing sir❤️‍🔥❤️‍🔥 but in this calculation in Gouss's forward formula 2nd step a little mistake you forgot to multiply 0.25.

  • @RakeshYadav-qt6xf
    @RakeshYadav-qt6xf 5 ปีที่แล้ว +3

    Thanks sir ji but ek confusion h if 6 term ho to midle y0 kaun sa manenge

    • @gajendrapurohit
      @gajendrapurohit  5 ปีที่แล้ว

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    • @shivamdashore6864
      @shivamdashore6864 5 ปีที่แล้ว

      same dought sir please solve this .....

    • @RakeshYadav-qt6xf
      @RakeshYadav-qt6xf 5 ปีที่แล้ว

      @abhishek singh bhai clear ho gya tha

    • @sush9889
      @sush9889 5 ปีที่แล้ว

      @@RakeshYadav-qt6xfbhai batao kaise karenge ...agar tum jaan gye ho to

  • @dhruvgurjar5251
    @dhruvgurjar5251 4 ปีที่แล้ว +7

    Sir if the entries given àre 6 then how I choose middle one as Y0

    • @mohdnajeeb333
      @mohdnajeeb333 4 ปีที่แล้ว +8

      Jiski value puchhi ho usko dekh kar center Choose kariye
      For example 4 entry me agar puch gayi value x ki shuri ki 2 entry ke beech me hai tab 2nd entry ko center manege aur agar puchi gayi value x ki akhri ki 2 entry ke beech me hai tab 3rd entry ko center Choose karenge

    • @ektadhapola9698
      @ektadhapola9698 4 ปีที่แล้ว +1

      @@mohdnajeeb333 thankyou 😊👍

    • @ggwp.indians
      @ggwp.indians 3 ปีที่แล้ว +1

      @@mohdnajeeb333 agar beech ki 2 value ki puchi h fir ?

  • @priyankajoshi7781
    @priyankajoshi7781 3 ปีที่แล้ว

    Thank you so much sir j🙏🙏🙏 1ch in 20 minute 👌👌👍👍

  • @mukeshchandmeena3997
    @mukeshchandmeena3997 3 ปีที่แล้ว

    Sir agar 6 value de rakhi hai to jiske pass ki value find krni usko y zero lena hai na🤔

  • @AjeetSingh-mf7tt
    @AjeetSingh-mf7tt 5 ปีที่แล้ว

    Sir ek mistake ho gyi aap se center interpolution ke question me jb aap gauss forward ke formula me value rhk rhe the tb aap ne miss kr diya 0.25 koi na ho jata hai vese bauthhhhhhh acha padhaya aap ne thanku so much

    • @gajendrapurohit
      @gajendrapurohit  5 ปีที่แล้ว +1

      Hello Ajeet Singh
      Thanks for Subscribing!,
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    • @AjeetSingh-mf7tt
      @AjeetSingh-mf7tt 5 ปีที่แล้ว

      @@gajendrapurohit thanku sir aap ese he video bnate rhe or hum jeso ka bhla krte rhe "ghyan batne se he bdta hai "

  • @successpoint1274
    @successpoint1274 5 ปีที่แล้ว +1

    Sir ji aapka bahut bahut dhnywad colz m koi padhata nhi or book ko dekhkr bhi dar lgta tha but ab nhi

    • @gajendrapurohit
      @gajendrapurohit  5 ปีที่แล้ว

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  • @honey0542
    @honey0542 2 ปีที่แล้ว

    Plz make a video on everett's formula

  • @sabafatima1483
    @sabafatima1483 ปีที่แล้ว

    Thank you so much 💗
    Best NC teacher

  • @mansikaktwan7968
    @mansikaktwan7968 2 ปีที่แล้ว

    Thanku so much sir 🙏 ☺

  • @nabeelnasir8383
    @nabeelnasir8383 3 ปีที่แล้ว

    Sir app jase teachers ki waja saa hii students engineering Kar pa rahe Han..respect from Pakistan 😍

  • @nazmulalam6239
    @nazmulalam6239 3 หลายเดือนก่อน

    Gp sir ❤ you from Bangladesh

  • @fkinformation4019
    @fkinformation4019 4 ปีที่แล้ว

    sir absolutely good define. solved my problem

  • @abdullahpathan1287
    @abdullahpathan1287 4 ปีที่แล้ว +1

    8,9 min k videos me mashAllah sir SB cover krwadete Hain ,
    Thank you Sir , numerical differentiation Ka whole syllabus almost me easily cover chuka hn...
    💖💯

  • @laraibnisar8592
    @laraibnisar8592 3 ปีที่แล้ว

    Very helpfull vdo.Thank u so much sir

  • @shivamchauhanvlog1707
    @shivamchauhanvlog1707 3 ปีที่แล้ว

    Thanks sir verry helphull my exam time

  • @GkwithAanand
    @GkwithAanand ปีที่แล้ว

    thankyou so much sir for your appreciation and provided helpfull contant

  • @rafiaabbas4455
    @rafiaabbas4455 2 ปีที่แล้ว

    Sir can u plz tell me...why we use Bessel's formula when we have Newton backwards and forwards formula???

  • @yjain1
    @yjain1 3 ปีที่แล้ว

    World best teacher 💯💯💯💯💯💯

  • @ARAVINDKUMAR-ug7gt
    @ARAVINDKUMAR-ug7gt 4 ปีที่แล้ว

    Sir your concept will helpful in our exam

  • @muhidrehan5534
    @muhidrehan5534 ปีที่แล้ว

    Sir very thank u.. love from Pakistan .. i cleared my exams here from your videos

  • @fountainmathmasti7089
    @fountainmathmasti7089 ปีที่แล้ว

    Thank you so much sir ji ❤

  • @shaluraj9963
    @shaluraj9963 3 ปีที่แล้ว

    100 sal jioge sir....bhut shi padhte ho aap