Newton Raphson Method | Numerical Methods | Formula & Example

[@gajendrapurohit]

Thanks for your comment, your appreciation always motivate us to do such kind work. Join Telegram Channel :- Maths By Gajendra Purohit Instagram Handle : instagram.com/dr._gajendra_purohit/ Facebook Page : facebook.com/Dr-Gajendra-Purohit-453775988491992/ Unacademy : unacademy.com/@Dr-GajendraPurohit Website:- gajendrapurohit.com/ Keep Watching OUR latest video. Link to B.Sc. Maths Playlist : bit.ly/34tTTdc Link to Engineering Maths Playlist : bit.ly/2OQ7Uvd Link to IIT-JAM Maths Playlist : bit.ly/2sh9pei Link to GATE (Engg.) Maths Playlist : bit.ly/35EAPct Link to IAS Optional Maths Playlist : bit.ly/2rwkOqj Link To CSIR NET Maths Playlist : bit.ly/2R8sUjV Following Topics are also Available 1.Differential Calculus: bit.ly/2OTYXB0 2. Integral Calculus: bit.ly/34rLA1R 3. Differential Equation:- bit.ly/37IOlO1 4. Partial Differential Equation : bit.ly/2OM5iyA 5. Complex Analysis: bit.ly/2OP8hGp 6. Numerical Analysis: bit.ly/2QYVQuy 7. Integral Transform (Laplace, Fourier & Z-Transform): bit.ly/37HRKg9 8. Statistics & Probability: bit.ly/2DmOt7Z 9. Operation Research: bit.ly/2pYYRjp 10. Matrices (Linear Algebra): bit.ly/2OOBSzO 11. Fourier Series : bit.ly/34u7iC9 12. Vector Calculus : bit.ly/2qICwXO 13. Theory Of Equation: bit.ly/2XU9y33 14. Special Function & Series Solution: bit.ly/2XRSU4l 15. Infinite Series: bit.ly/37K6gUI Please share it with your Friends Thanks Dr.Gajendra Purohit

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Dr.Gajendra Purohit Sir aska prof pa b ak vedio bna 2

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Dr.Gajendra Purohit Hamain intzar rhay ga apki vedio ka

[@ad4204]

16 ni 13

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Sir reiman integral pe video banaye plz

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Thank you sir

[@saisridharsugandam1970]

Thank You so Much Sir, Because of You I was able to Clear my m1 backlog.

[@rajasthanupdates959]

Kya bat hai sahab 🎉

[@ekarshichatterjee]

Sir, how the value of cos1-1e^1 = (-2.1779), I think it should be (-1.7184),..... pls check it. in the second problem and also f(3) = 27-14= 13 not 16 in the first problem...

[@ankursingh7820]

exactly I have got such type of answer

[@apluvsingh9626]

Same here. It should be -1.7184

[@aakanshabist]

Change degree into radian first in the calculator And solve .. Then u will get the correct answer

[@042_md.shabuktahaidereric8]

you will get -2.1779 when you are doing trigonometric calculation in Rad (radian) mood. c:

[@akhilesh5010]

Einstein Spotted

[@anynomous144]

``Ek last example lunga isske bad iss topic ko maii finish karr dunga`` ---😄😄 GP sir is a boss😎😎😎 Love you sir

[@RajdeepSingh-pr3xv]

I also written the same comment 😂

[@soumyamunsi8449]

I am your student (I learned a lot from your videos). But Today I found two mistakes here, first 3^3-3*3-5=13(In video It was 16), and other was You forgot to write ^2 in X3 equation of first example. But the method was very easy, thankyou sir..

[@ayushthakur3815]

not gonna lie this man is the reason I get marks in my maths courses at my college!!

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True that 😍😍

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Thank you so much sir.For explaining each and every point so I have no doubt.Your way of teachinh is best.I m du graduation student from november I m searching teacher for me to teach maths of final year but no teacher is ready to teach me they want only money without giving trial they charge me 10k for 1 semester exam.When I found u on KZbin then I decides u r the teacher who have knowledge who can teach me with concepts.All over sir u r best teacher in my life

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the excellence of our generation depends on teachers like you, hats off to you sir👏👏

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B Tech vale attendance do !!

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Ye attendance bolne wale log pgl hote h kya

[@Newzome]

Kon se college se bhia😊​@@NavneetNaveneet

[@Newzome]

@@NavneetNaveneet harsh what harsh ??

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25 july ko paper h m3

[@mrinmoydas6843]

Ha bhai 2 hrs baad exam dene jana hain

[@injamulhossain2978]

Thank You Soo Much Sir For Sharing Your Knowledge With Us. Also For telling us that This is one of the most important Method 🙏

[@alexandertheking9862]

I am from PAKISTAN. sir you taught perfectly and i grasped everything you taught. your teaching is really splendiferous and stupendous.

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Your English is very good.

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Mc Pakistan

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Abe bhikari apne teacher se pad na

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This Man Is Legend 💯😍 Love You Sir❤️

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Mishra ji.. Padh lo.. Jyaada comments karne me time na lagao... Aur adhik angrez bhi na baniyo

[@youtubennn172]

@@KishoreRana567 😁😁

[@guigaingamkamei9654]

Sir what about precision. Should it be x1-x>e or x1-x

[@amritathakur2036]

In starting my maths was very weak and i feel very frustrated when I solve mathmetical problems but slowly slowly I improved and I got many highest marks in math subject....... So I want to say that maths is not tough if u have strong 💪 dedication, first off all we should strong basic, concepts .... So math is not a ghost 👻 it's a divine power💪⚡....

[@dhirajlonare7620]

Noted 👍

[@BHUSHANPATIL-iv2ic]

In the beginning of solving question, F(3)=27-9-5=13 and and sir you have calculated is 16

[@anshulsingh7053]

Bhai sir ne subtract hi galat kiya hai 27-9-5=13

[@siddharthtripathi3903]

Kya hi fark padta hai uska uss to kahi hua nahi keval x⁰ nikalna tha

[@abhaykumar3877]

Uska koi effect nhi pdh rha h solution pr bro

[@bishalshrestha3880]

yeah agree

[@tsetendorjeesherpa8413]

Guys ....put x=3 ,its 27-6-5=16

[@rajankumar-fk9yk]

Sir apka video bahut clearly hota hai....hamere college mai syllabus bhi complete nahi hota hai ...aap ka video ko dekh kar pura syllabus complete karta hu.....

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u also subscribe my cahnnel for maths lectures ...........plzzzzzzzzz must check my work

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Iam also do same thing

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You're an absolute legend you always made those things super easy that our professors can't👍🏻 and I've recommended your channel to my no. of friends and they too agree with me. THANKU SO MUCH SIR FOR YOUR EFFORTS🙌

[@UtkarshSingh-rj8se]

Sir question ki starting mai jo apne x ki value 3 rakhi hai uska answer 16 nahi 13 aa raha hai f(3)=27-9-5=13

[@vishalsutar7303]

U r right bro

[@sumitdhakad6050]

sir bahut hi jyada dare huye hai

[@Shubham_nishad_8081]

Hamko bhi pata h ki ans 13 aayega. Lekin itna to common sense laga hi sakte h aap log

[@mishrasaurabh2513]

Wah beta bahot tejjjj ho rahe ho 🤣🤣

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Bhawnao ko samjho

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Itni gajab ki teaching I didn't get ever except my physics teacher 🙏🙏🙏

[@alstoncerejo6884]

Sir thank you so very much for the perfect explanation🤗🤗

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u also subscribe my cahnnel for maths lectures........

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Great work. Kitna engineers ko bachae he O bhi top tarika se.

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Sir, your video Lectures are really helpful for exams and they are Easily understandable

[@muzaffargulzar6470]

Thanks very much Sir Jii,Ur teaching in maths is really professional and ur teaching is conceptual and based on reality...Now we can solve "numericals"on "Numerical Analysis" on our finger tips...All credit goes to u Sir Jii... Thank you Sir jii...

[@Vloger_gamer_roaster]

One mistake in your video sir :- second step me f(3)=13 ana chahiye aur aapne 16 likha hai ( time line 6:21)

[@shreeramaashokaadakoli6784]

You're a Godsend sir...... Thanks a lot sir for the help . You definitely deserve a medal for your teaching sir ......

[@jimcurrie]

I just came up with the improved newton raphson method. My friend T.G.I Fernando says that it is an improvement to newton's method. I use it most of the time because it is cubic convergence order method.

[@mukundkumar178]

Engineering students ke backbone hi sir app .....Thankuuu sir🙏🙏

[@diablosama437]

Yep

[@Adityajacked]

Sir Aap kabhi bhi video bnana band mat krna sir..... Sir you teach very very very good....... Aap sir hamesha is tarh hard work krna.. And sir.... Lastly thanks a lot sir

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Put the camera on the position you wrote on the board ... Overall good teacher 👍😊

[@Ritu.24]

literally savior😭😭🤲🤲lots of respect to you sir

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Ha kal exam hai

[@yubrajkarki.]

kuch toh saram karo calculatio wrong karr raha hai tum thank u sir and lots of respect bol rahe ho

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@@yubrajkarki. Galti har kisi se hoti hain bro sir bhi inshan hi hain, or vo guru hain to respect do bhai,

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@@yubrajkarki. Hum hi logo ko padhane ke liye video bnai h , glti hojay to kya insaan hi glt ? Tum sharm krlo chacha 😂 tumhare logic se tum bhi ek galti huye 😂

[@kamesh1317]

Maja aa gya sir best ever taught 😍

[@yashahuja1550]

f(1) in cosx-x*e^x will be -1.7184

[@akashbudhiraja6227]

Sahe mai yrr -1.718 aa rhe hai

[@ARSAGAMING69]

No bro

[@alisha.sadaqat]

Multiply cos x value with pie by 180

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Shi me yr bhai 👍

[@girishbhatia3643]

Wonderful and Most Amazing Explanation😍😍😍

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Thank you sir for explaining so well ! We really need teachers like you, more.

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Sir you are also helping Computer Science student for maths that is useful in Machine Learning Algorithms. ❤

[@ayushmhaisne5698]

plz check the answar... Their are sum mistakes....we put the value on calculator ans are not same as in video # x1 value in eq

[@Tricksiq]

Literally sir I have to say to u this sir i didn't touch numerical analysis book bcs I'm very afraid of it Lagrange,Newton difference,raphson,etc method just like a bomb for me thank u so much sir that u r teaching us u don't know sir right now my favourite subject is numerical analysis the basic u teach is just amazing thank u so much sir just by ur one video of Lagrange method I solve all the Lagrange question thank u so much sir 🙏🙏🙏🙏🙏🙏🙏❤️💫

[@clipbait7148]

Thank you sir for sharing your knowledge with us. This will definitely help in my semester exam. Thank you again sir❤

[@Vasanthkumar-gw8mu]

Sir in the first question... f(3)=13 not 16 Great explanation ❤️sir!

[@deepa_adhikari_]

Hello sir thank u for your kind support..you r such an amazing teacher👏😅

[@Saksham_Verma333]

Dear Sir, The answer for second question is 0.51775 I got this answer when n = 1 and n = 2. The root of this equation is 0.51775

[@anishadash8550]

Thank you so much sir for providing such quality content for free, no words can explain my gratitude. 🙏

[@mehwishiqbal1235]

Sir very thankful to you if you answer my question as soon as possible 😊

[@yamalapallijayakaivalya4366]

Sir in cosx-xe^x=0, when i calculated the calculator i got X1 as 0.570783178 shortly 0.5707 and X2 as 0.5671 so can you please clarify this if possible.

[@InfoTechFarhan]

Please use the calculator in radian mode

[@iamrifatzehra]

I scrolled down till your comment to check. I aldo got same answer

[@fantasytips7625]

@@InfoTechFarhan thanks king👑

[@someshjoyguru]

Yes it will not come exactly 0. But it will be a very small value. (Use calculator in radian mode)

[@vasutaunk9403]

Bhaii jb aap values rakh rhe ho cos function m to value ko radian m convert krke rkho

[@saurabharya1450]

Best videos on all topics for preparation...thank you very much sir....all my doubts are cleared

[@sachinjain9048]

one can't make explanation for numerical analysis better than this....thanks a lot sir...

[@gajendrapurohit]

Hello SACHIN JAIN Thanks for Subscribing!, your appreciation always motivate us to do such kind work. Preparing CSIR NET ? Then Follow me on Unacademy Link:-unacademy.com/user/Dr-GajendraPurohit Please Share it With Your Friends Want to get notes and link of videos with latest update then Connect me on Whasapp Group Link:- chat.whatsapp.com/Fck1k8gzunMLVL70DdG4eK Keep Watching OUR latest video. Topic:-IIT-JAM Mathematics kzbin.info/www/bejne/m4XTZqqnYsiGjrs Topic:-GATE (Engineering Mathematics) kzbin.info/www/bejne/pmbVc32gaqh-eck Topic:-B.Sc. Mathematics kzbin.info/www/bejne/jYmZgGyKnquMqaM Topic:-IAS Optional Mathematics kzbin.info/www/bejne/pmbVc32gaqh-eck Topic:-Engineering Mathematics kzbin.info/www/bejne/pmbVc32gaqh-eck Please share it with your Friends Thanks Dr.Gajendra Purohit

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superb sir fast and clear class very nice

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Very cool teaching Sir🙏🙏🙏 great idea sir 👍👍

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Sir your videos are awesome , appreciation from pakistan 🇵🇰 , best part is you always first explain the method what we are doing and why

[@hrithikapanwar2649]

thank you for such an easy and understandable explanation sir! I had a small query regarding the same, what if the value of x doesn't repeat? how many iterations should we use then?

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I was looking for this. Need more videos like this.

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i feel proud after seeing teacher like him , he is teaching free ,he can earn money from it but goodness of him to teach student free thank u sir

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Aagr sir aap na hote too kl exam m fail ho jate thanku sir sare topics video bnane k liye sare unit cover ho gyi ❤❤❤❤❤

[@squadxero947]

Thank you sir for helping us for exam preparation....

[@gajendrapurohit]

Hello Squad Xero ! Thanks for Subscribing!, your appreciation always motivate us to do such kind work. Preparing CSIR NET ? Then Follow me on Unacademy Link:-unacademy.com/user/Dr-GajendraPurohit Please Share it With Your Friends Want to get notes and link of videos with latest update then Connect me on Whasapp Group Link:- chat.whatsapp.com/Fck1k8gzunMLVL70DdG4eK Keep Watching OUR latest video. Topic:-IIT-JAM Mathematics kzbin.info/www/bejne/m4XTZqqnYsiGjrs Topic:-GATE (Engineering Mathematics) kzbin.info/www/bejne/pmbVc32gaqh-eck Topic:-B.Sc. Mathematics kzbin.info/www/bejne/jYmZgGyKnquMqaM Topic:-IAS Optional Mathematics kzbin.info/www/bejne/pmbVc32gaqh-eck Topic:-Engineering Mathematics kzbin.info/www/bejne/pmbVc32gaqh-eck Please share it with your Friends Thanks Dr.Gajendra Purohit

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best youtube channel for maths I love the way you teach I have cleared all university lectures of mechanical engineering maths.

[@kevindudeja291]

Sir, I have not attended your live class but finished the competitive exam syllabus from your videos. I request you to upload the video of the live classes for the types of questions set in competitive papers. Thank you! *thumbs up*

[@muhammadzafranali1794]

Sir i am from pakistan. Sir you are great your voice and way of teaching is very good.may you live long great great and great only you thanku sir

[@lucaspaciolie7893]

Sir 27-9-5=16 kaise aayega

[@MuzammilIrshad-nw4xt]

wah sir school walay sir ke yaad dila d ..love from Pakistan

[@015digambarsharma4]

Thank you sir. Your tutorial helped me a lot

[@beelzebub9411]

Jitni bhi baar apki class krta hi sir din ban jata hai mera ..bht syllabus ka load kam ho jata hai aur man khush ho jata hai bhagwan aapki khusiya aur tarakki de bss aise hi humara saath banaye rakhna

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Seriously Sir, You are our God. We start studying before 7 days of exam with your lectures and able to get 8 to 10 Grades in Math. Thank You Sir 🥰🥰🥰🥰

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Great.. Helpful.. Love and respect from Pakistan. Keep uploading such a content

[@aysarbisanal]

f(3) = 13 hona chahiye 6:55

[@rohitpal8629]

You are my favourite teacher😍😍

[@jayantsharma6022]

Sir in cos qstn when u put x = 1 then the value should be -1.7184 but ur answer is -2.1779 can u plss explain

[@zeroxia3642]

Put cos(1×57.296) coz we need to convert the radian form to degree form

[@karunmonnappa467]

thank u, sir! bohot help ho rha h. plz don't stop sir!

[@ayaankhan6450]

sir the value for cos 1-e^1 = -1.718

[@chiragpuri2684]

@ayaan Khan same here

[@aakashgupta4230]

Here, 1 is in radians

[@Sudhan2006]

Radian lena hota hai kya?​@@aakashgupta4230

[@Sudhan2006]

Agar cos sin wala equation diya hoga toh

[@randomfun04]

Sir 1st Questions me aapne 2 ko liya x0 kyunki vo close to 0 tha but 2nd Question me aapne 1 nhi liya? Kya 1 lekar solve nhi karsakte? 🙏🙏🙏🙏🥺🥺🥺

[@rajankumar-fk9yk]

Sir har topic ke last mai ek extra video. ...banaye jisme 6-7 question important aur hard and high order of thinking skills ka question ho

[@pritpatel9938]

00:12 Introduction to Newton Raphson Method in Competitive Exams 02:20 Solving a specific question using the Newton-Raphson method 05:34 Newton Raphson Method is an iterative numerical technique for finding roots of a real-valued function. 08:53 Newton Raphson Method is important for exams 11:34 Understanding Newton Raphson method for numerical solutions 14:46 Solving problems using the Newton-Raphson Method 17:39 Using a calculator simplifies the method 20:01 Newton Raphson method is important in competitive exams

[@surabhisharma7487]

Sir you have amazing teaching skills. When will you live for us?

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Sir u r doing great job and sir i am honestly saying ur clear my many maths prblm.... Thank u sir...... Very much thank u for this help... U r great sir......

[@bathroomsinger3026]

Sir hum "x" kii value 1.5 rkh sktee hh ?

[@sunilrathore2273]

Sir aap ne bahut achha se samjha diya👍👍👍👍

[@nsg_captain_]

At 6:16 min of this video NOTE :- 27-9-5 = 13 not 16 😂😂😂

[@eraser4744]

I was puzzled too i thought how he got that since he was talking abt some other method I thought I was the one wrong here😂

[@emankhan1860]

The main thing is the topic not the smple calcution

[@emankhan1860]

Sory calculation

[@bhaskarkumar243]

Abe sal......

[@jamilmalek3662]

Sir sabhi vidio badiya he, or sabhi use full he. Thank you sir

[@Vengeance2609]

sir please abstract algebra complete karwa dijiye 🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏

[@gajendrapurohit]

Hello Harish Kureshi Thanks for Subscribing! Preparing CSIR NET ? Then Follow me on Unacademy Link:-unacademy.com/user/Dr-GajendraPurohit Will do one By One Please Wait. I am Uploading Videos according to students demand, but it takes time.Please Understand My Point of View. Please share it with your friends Want to get notes and link of videos with latest update then Connect me on Whasapp Group Link:- chat.whatsapp.com/Fck1k8gzunMLVL70DdG4eK Thanks

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Thank you guruji 🙏🙂😊😊😊.🙏🙏🙏🙏.I am enjoying mathematics because of you.

[@subhadrasingh3079]

If the function is x^3-3x+1=0 ... Here one of the root lies between (1,2) .If we take initial point x0=1 ...then next value x1 tends to infinite ...in such cases what to do ??? Please reply sir 🙏🙏

[@ankitaray2711]

f'(xn) is must not equal to 0,so we can't take x0=1...we have to take another value

[@subhadrasingh3079]

@@ankitaray2711 thank you so much that's why some examples are like that ....😃😃😃

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very nice video ... thia channel is the only reason i don't attend online class because i learn evrything here

[@aadilhussainkawa7259]

Sir exam is coming please upload lectures on plane and solid geometry

[@gajendrapurohit]

Hello Aadil Kawa Thanks for Subscribing!, your appreciation always motivate us to do such kind work. Preparing CSIR NET ? Then Follow me on Unacademy Link:-unacademy.com/user/Dr-GajendraPurohit Please Share it With Your Friends Want to get notes and link of videos with latest update then Connect me on Whasapp Group Link:- chat.whatsapp.com/Fck1k8gzunMLVL70DdG4eK Keep Watching OUR latest video. Topic:-IIT-JAM Mathematics kzbin.info/www/bejne/m4XTZqqnYsiGjrs Topic:-GATE (Engineering Mathematics) kzbin.info/www/bejne/pmbVc32gaqh-eck Topic:-B.Sc. Mathematics kzbin.info/www/bejne/jYmZgGyKnquMqaM Topic:-IAS Optional Mathematics kzbin.info/www/bejne/pmbVc32gaqh-eck Topic:-Engineering Mathematics kzbin.info/www/bejne/pmbVc32gaqh-eck Please share it with your Friends Thanks Dr.Gajendra Purohit

[@ankursingh7820]

@@gajendrapurohit Sir, how the value of cos1-1e^1 = (-2.1779), I think it should be (-1.7184),..... pls check it

[@learnwithyaqoob]

Your videos help me alot to make my own videos

[@iitwalebhaiya]

Thank you sir ur content is far better than online live classes

[@sambitmahapatra1553]

sir there is a slight mistake in the initial calculation . f(1)= -1.71 not -2.17

[@rajkumarsahoo9152]

Yes Ami deakchi .but sir is very helpful our life.

[@PHYSICS_BY_G.D]

Very nice work sir for students like us who are not going to any coaching for competitive exams

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Sir, thank you so much. I love your content and technique. I have watched numerous video and feel confident after watching your videos. 🥰🥰

[@crystalsharma3299]

Thank you so much for giving a clear and understanding lecture 🤍

[@Alliswell-vw7hx]

Sir the values of trigonometric functions are in degrees or radians?

[@gajendrapurohit]

Hello VEERENDRA P uploads Thanks for Subscribing!, your appreciation always motivate us to do such kind work. Preparing CSIR NET ? Then Follow me on Unacademy Link:-unacademy.com/user/Dr-GajendraPurohit Please Share it With Your Friends Want to get notes and link of videos with latest update then Connect me on Whasapp Group Link:- chat.whatsapp.com/Fck1k8gzunMLVL70DdG4eK Keep Watching OUR latest video. Topic:-IIT-JAM Mathematics kzbin.info/www/bejne/m4XTZqqnYsiGjrs Topic:-GATE (Engineering Mathematics) kzbin.info/www/bejne/pmbVc32gaqh-eck Topic:-B.Sc. Mathematics kzbin.info/www/bejne/jYmZgGyKnquMqaM Topic:-IAS Optional Mathematics kzbin.info/www/bejne/pmbVc32gaqh-eck Topic:-Engineering Mathematics kzbin.info/www/bejne/pmbVc32gaqh-eck Please share it with your Friends Thanks Dr.Gajendra Purohit

[@ronaksuthar5557]

In Radians

[@sameerahmed3033]

Jis question me koi bhi angle Diya ho usme hamesha radian me lete h

[@shreya8443]

sir thank you so much i will never forget you 🙏 🙏

[@naincy6307]

Sir f(3) = 13 not 16 plz correct it

[@khushijain9785]

Very good explanation ❤😊thank so much sir 😊😊

[@fullstackdotnet]

I would have had a higher GPA if I found your channel earlier. Thank you

[@invictus3907]

Utube algo sucks bro😅😅

[@rahulmukherjee37]

Thanks a lot for easy precise and good explanation, it was really helpful.

[@prithvirajdj]

Question: cosx - x e^x = 0 x¹= 0.57075 aa rha h mera (for x. = 0.5) & Agr x¹= 0.51802 put krra hun tb x²= 0.568995 aa rha h. 😕

[@thetruth.4]

Are bhai yaar isi question me starting me 0 aur 1 ki bhi value different aari h meri

[@nimehg5734]

use radian instead of degree

[@dax1084]

@@nimehg5734 kab radian lena aur kab degree.

[@naveenkumarbharti7190]

Sir you are super hero in all teacher thanks

[@crazyexperiments1818]

f(3) ki value to calculate karne par 13 aa raha hai aursir apne 16 likha it,s a doubt?

[@sagarpatel4363]

it's small mistake but ok.........👍👍😊😊

[@girdhargaming4190]

Thank you muskil time aapke ye lecture bhut jyada kaam aa rehe h

[@kuldeeprana8777]

F(3)=13 h sir...or aapne f(3)=16 liya h. Main equation Mein.

[@alenjose3903]

chutiya

[@soumyaranjanbaral3125]

Sir you are awesome and l see your vedio always topic wise 💗💗

[@BibekPodh-yq9nz]

Any Bsc student?

[@Ramnu_]

@@BibekPodh-yq9nz me also🥹

[@rajatsahu9313]

Sir , in this method should we always start checking by putting x=0 in f(x) .... Because in some questions in rgpv they have neglected that don't know why ....