Fantastic Calculus Problem from Offline Coaching Test

[@dhairyagajjar8899]

Also can be done by f(x)-f(x/2)=g(x) Then assume g as a polynomial and claim will be it is an quadratic 2 degree g(x)=4/3x² and then same for f also

[@SwatisKitchen-lj6dn]

Noice method You have some source from where I can learn these methods I'm in class 10

[@dhairyagajjar8899]

@@SwatisKitchen-lj6dn ioqm prepration and practicing ioqm and rmo level problems

[@Jeeobsessed]

Attempted this ques in fitjee offline centre in 6 min approx🌟🌟

[@Avishekyadav865]

Which centre bro

[@devilpro7271]

did u get the correct answer

[@apparatingtonowhere6007]

humme bss ek function chhaiye jo isko satisfy karta ho , toh bss highest degree 2 hai x ki toh bss f(x) = ax^2+bx+c manke coefficient compare karne pe function 16/9x^2 hi aa jata hai sidhe ye sahi hai kya?

[@AaravBizz]

south x

[@silentworld4952]

Sir is using resemble recursive pattern from algebra and number theory which of next term is depending on its values at other points, or previous points, which is smaller also it creates the dependence and function can defined .....I am also math teacher ....I am very much inspired by sir (sir doing a great job keep going sir)!!!!!

[@dhruvbhatia6808]

This is a very beautiful formal proof but to do it in exam I feel just taking fx as kxsq will be easier

[@mansoorshah6109]

Sir, what is the graph of y=f(-|x|) if f(x)= |x+3| and explain why it is so?

[@akhileshvijayvargiya4259]

approach and answer both matched thank you sir

[@vik24oct1991]

its easier using taylor series for f(x), when you put it in the equation we see that only coefficient of x^2 is non zero for f(x), the coefficient of x^2 comes out to be 16/9 and then you can simply substitute.

[@skyboltKAMI2301]

Sir maja aa gya question krke 🔥🔥

[@akshat9188]

2 minute me kaise karliya bhai

[@studylevi2684]

⁠@@akshat9188Ashish sir ne el similar problem dia tha so mera 2min meh hogaya

[@vybs9235]

​@@studylevi2684kaunse centre pe ho tum

[@ananyatripathi7690]

Being a FIITJEE student since class 9th I can confirm The questions in their tests are just another level..No other coaching can match FIITJEE...❤I hope the problems they are suffering from resolve soon..

[@mkrsinfo2859]

wait lemme guess you got into Dholakpur institute of engineering?

[@win_quanta]

​​@@mkrsinfo2859But me in IITD CSE Mehnat karke tere bhai ne poora dream bana diya

[@ErenYeager77778]

Definitely a good problem ✨

[@BHAGTI_MARG_DARSHAN]

Sir your brother AMIT KUMAR SIR is now teaching in RPS PUBLIC SCHOOL HASAKA , we are studying from sir we are very lucky ☺️☺️😀❤❤❤

[@rishavmishra3523]

Sir I have solved this question by other method.. continous function h to Maine quadratic function let kar liya aur fir jo condition diya hua h use same aagya .. answer mja aagya . Shi h ki ni..

[@Skibidi-Spongebob1]

Ye 12th ke level ka to nahi h

[@Akshay80554]

assume that f(x)=ax^2+bx+c

[@mayankkhoria8203]

Sur we could also do this by assuming f(x) to be a quadratic expression as it must HV atleast degree 2 then we will see that coefficient of x must be 0 and that power higher than x^2 cannot be cancelled and comparing with rha coefficient of x^2 will come 16/9

[@tanusreekar2839]

chindi sa tha to ye lol

[@mohammadhamza220]

Maine bhi aese hi kara

[@UtkarshGaur-d6d]

Whi bhai agar tum f dash at 0 nikal o ge to wo zero ajai ga to ax² + bx + c me b wala term zero hojai ga matlab or calculation bacha jaigi

[@Sigma_men_rk]

Plz make one video of a chapter and cover all pyq of 2020-24 ..... Only 3 months left for JEE 2025 Plz 🙏🙏🙏🙏🙏

[@rajgamers5846]

Sir i guess is type ka question amit m agarwal calculus functions me hai

[@user_unknown32562]

Sir ye sol to smj agya... Sir kya ham isko f'(x) se bhi kar skte ha kya?... Like uski first principle se

[@leviackermann4080]

Concepts used: Sequence and series Number theory Geometric progression Limits

[@lostsapein_386]

Question mein =x 2 Solution mein + x2

[@UtkarshGaur-d6d]

I have my own methord if someone wanna hear degre of fx , f(x /2) , f (x /4) will be polynomial of degrrr 2 now f dash 0 is zero hence ax² + bx + c term b will be zero as f dash zero is zero now put the given f = àx² + c in above relation

[@omprakash2267]

Jai Hind sir

[@utkarshvashishtha9696]

Mene to f(x) hi soch lia .....f(x) = 16x²/9....😂😂😅

[@Kamlesh-x7u]

Sir please solve black book integration questions exercise 5 question no 12

[@ars-II]

that cot question right?

[@Ajaysaini40122]

Aman sir "Amit sir chemistry " khaha gye youtube par to khai mile nahi h . Sir aap ko पता हो tuo battana plz वो sir भी best पढा ते थे

[@x_sinx]

Easy toh tha f(x) ko ax²+bx+c leke eq me daal do parameters ki value aa jayegi

[@Mathslover666]

Fiitjee mein ase question ko koi importance dete bhi nahi sach bolu mein to mein abhi top batch mein hu aur yah Sare hod teacher khudke ke banye hue question karate hai jee advance se bhi khatarnaak.

[@bhaveshsinghbisht]

​@@Mathslover666 Bro ,kya kuch questions mujhe bhi de sakte ho .Please .

[@shivx3295]

take derivative and then solve the formed differential done in 15 seconds

[@_samin2566]

Sir gp meh n+1 term nahi ayega kya

[@ars-II]

at the end we take n. tends to infinity so it wont matter

[@_samin2566]

@@ars-II true one but for matter of accuracy I commented

[@Funnyshort-d4d]

Sir maxima and minima ka complete chapter nhi hai

[@ayushdevdhar2178]

nice

[@Cric18teen]

Sir mene bhi same approach se kiya

[@_soyel786]

Sir i am also thinking like you same sir but i can't think for general x 🥲

[@Ajaysaini40122]

Sir pmz Amit chemistry walle sir ko aap invite karo sir vo sir best study karwate hai plz reply

[@harikrishnakholia7181]

Solved this question by tarun Khandelwal sir notes

[@VishalDhatterwal]

Nice problem sir 😄😄 I didn't get it first then see soln 😅😅😅

[@yuvrajsingh-wk3py]

Q. Suppose k > 0. Let c and d be the roots of x² - kax - (k + 1)b = 0 and a, b be the roots of x² - kcx - (k + 1)d = 0, and a + b + c + d = 180, then k is equal to A. 11 B. 9 C. 7 D. 5

[@swatidixit3209]

1

[@yuvrajsingh-wk3py]

@@swatidixit3209 not even in options

[@prakashsha11]

D- 5

[@prakashsha11]

a+c= 36 ( 25 + 9 ) b+d=144 ( 90 + 54 )

[@yuvrajsingh-wk3py]

@@prakashsha11 bhai ye dono eqn add karega toh a+b+c+d will be greater than 180 !! Not making sense.

[@skythrill2946]

Sir pehle baar jab divide by 2 kr rhe the wo maine kra then dubara 2 ka divide dena to atak gya fir nhi hua

[@kathansamdani3013]

Allen Kota leader batch class notes

[@aradhyasingh5773]

I did till the cancellation part but couldn't think of putting n -> inf :(

[@Arshay_Sharma]

Sir pw rejoin krlo aap jaisa maths teacher koi nahi hai

[@bshm_y]

Sir aap paid practice session laiye....ham usse kharid lenge..... free laiye full support milenga but sir laiye toh shi

[@geetapappu3969]

Thank you for black background

[@bossinfinite9742]

Same method use kiya but calculation mistake hua Still able to use concept in 1st time

[@SatyamKumar-rq9nf]

❤

[@Yash-eu1yd]

Sequence apply hua hai + calculus

[@rishuvaiya1305]

lol easily assume it to be second degree polynomial you get f(x)=16/9 x^2 + c solved under 2 min

[@UtkarshGaur-d6d]

Sir i would say ye methord kaffi kharab tha for paper

[@kiranpradhan3377]

this qn is based on basal sir note pw asish sir student know this qn

[@Jee2025-oz1zs]

alternate diffrentiate twice put x=0 integrare twice you get same ans lol in 2 steps 😂

[@earthisflatandiamapenguin.5995]

What

[@suniltulsiani28]

Bhai tu jee ki taiyari chod de aise khich bhi karke ans nahi Nhi nikalna hota hai logic bata iske piche ka gadhe

[@shivx3295]

yep

[@anudeep0129]

how do u know if the function is differentiable u are gambling dude

[@Jee2025-oz1zs]

@@anudeep0129 it is continuous

[@sohamsawant158]

First' ❤

[@gsl-official]

Sir job h kya

[@Aditya-id2el]

Kis kis ko PW ki etni ad irritating hoti hai 😡😡

[@yashdudeja2408]

Kon kon sir ko pw pace series se jaanta h ?

[@Understandable-l4h]

me from class 8 till now in class9

[@satyendrasenapati1461]

Hum

[@yashdudeja2408]

@@Ayushhackgod kya matlab ???

[@sumant81]

This seems incorrect .When n tends to infinity , the denominator tends to infinity ,but it is wrong to say f(x/2^(n+1)) is same as f(0) . x is an element of all real numbers which means x can be infinitely large too . To say this is true for all x is mathematically wrong .Infact if x -> infinity the form is indeterminate of infinity/infinity and hence cant be 0 . The answer may be right but the approach is fundamentally wrong .

[@anuragsenvlogs9985]

solved it in first try

[@ars-II]

got the ans in less than 3 mins

[@TXx.DEVTA.]

Guys sab btao ki ab kya kya kar rahe ho?