My solution : let e^pi > pi^e, we know that a> b -> a/b > 1 [here no negative numbers are involved] so [ e^pi ] / [pi^e] > 1 Take log on both sides: pi - e lnpi > 0 ----( 1) Now let a function: f(x) = x-e lnx -> f'x = 1-(e/x) -> function has it's minimum value at x = e and that minimum value is 0. Thus for all real x in the domain of the function, f(x) > f(e) -> f(x) > 0. now f(pi) > 0 -> pi - e ln(pi) > 0. From this we know that inequality (1) - holds true-> Our assumption was correct and hence e^pi - pi^e. This might seem lengthy but karte wakt easily click hoke solve hojata hai :)
@JeeparJeetWithANNASirKota
6 күн бұрын
🙌 Subscribe for more such content
@Rockstar-lt5ns
10 күн бұрын
6 ways 😱😱😳😳🤩
@JeeparJeetWithANNASirKota
6 күн бұрын
Subscribe for more such content ❤
@ashishg982
10 күн бұрын
amazing
@Shivansh_IITian
8 күн бұрын
Sir, you are the best teacher of maths for conceptual understanding, maine apke Unacademy ke Lectures dekhe the in 2021, then maine drop liya. And scores 99 percentile in Jee Mains with 100 %ile in Chemistry. I also want to help students free of cost like you sir thats why i opened my youtube channel so that everyone can get good score in chemistry and get thier dream IIT. You are my motivation sir, ❤
@AnshPathak2005
4 күн бұрын
Nice
@krishnayanamit4828
9 күн бұрын
Last method guru ji
@bshm_y
10 күн бұрын
Sir aap plz non PYQ's solving session laiye
@AmanPal_1586
10 күн бұрын
Method 5 and 6 is OPP Jee ke baad bhi dekhne me maja aata hai ❤❤
@AlbertKandukuri
10 күн бұрын
adv mcqs karwado sir plz 🙏😊
@Mrbattlecoinpurchase
10 күн бұрын
A5 question by Annan sir ❤❤ 0:57
@AnshPathak2005
4 күн бұрын
Vinay uppal sir ne bhi banaya h
@Adityasingh-pd2pp
10 күн бұрын
Simply Wow❤❤❤
@ShreyaanGupta-w8x
9 күн бұрын
by taking function to be x to the power 1/x easily solved
@siddhanttiwari2007
10 күн бұрын
Absolutely wow
@PrakritiNathSarkar-vc6kf
10 күн бұрын
SIR THERE IS ANOTHER VERY UNIQUE APPROACH USING 2nd law of thermodynamics and efficiency of carnot engine!!!
@DarshitSharma-ll2ij
9 сағат бұрын
Btaio bhai
@sheikhrahilsheikhmaheboob4646
10 күн бұрын
Thank you sir function me number of function ke qns lekar aao sir please ❤❤❤
@ShivamKumar-q5u6n
10 күн бұрын
Sir aap motion ma offline padhate ho na
@Raghvendraedits
10 күн бұрын
❤❤❤
@JeeparJeetWithANNASirKota
6 күн бұрын
Subscribe for more such content ❤
@aksingh3167
10 күн бұрын
😄
@ayushranjan-tm2ll
7 күн бұрын
This shows that you are god in manipulation the 8:15 method was insane loved it🤯🔥🔥
Пікірлер: 24