34 Replies
@Apu
Note for OP
+solved @user1 @user2... to close the thread when your doubt is solved. Mention the users who helped you solve the doubt. This will be added to their stats.i find doing it with first principle tricky sometimes ðŸ˜
basically the function is of the type f(x)=x^a
You can directly take it like this
And from the given condition the value of a comes out to be 1
So its just f(x)=x
Put the value get the ans
how....lhs would have /2^a but rhs would have /2
I'm ngl, sometimes it is useful to consider f(x)=kx (It takes mere seconds to check). Here you can see by trial and error f(x)=x satisfies the functional equation.
kk otherwise theres no way except first principle right
this assumption is wrong no?
it only held true cuz a was 1
There might be.
I don't have pen and paper on me, so will try later.
After putting the given condition a is coming out to be 1
if function was x^3 then your assumption and consequently the ans would have been wrong
You can even consider any other function pf your choice
Is should just satisfy the condition
ok check for x^any power except 1
no
..
Why to complicate it bro
I didnt get it?
coincidence...if function was x^2 or x^3 you would have got wrong
Definitely
u got lucky a was 1
The condition is given for this purpose only
.
Are if we are not able to figure out the function by assuming then we have to go for first principal
we can try differentiation
Here the que was very simple and it is very clearly visible that f(x)=x satisfies the condition so to save time we can directly use this method wherever applicable
its not a method
you're just putting in values
thats fine but i wanted to see how to do it with differenting or any other general method
You can then use first principal to determine the function first
Then putting in the values
.
.
I dont think so there is any alt for this
accha
hmm ill try to post an alt in a while
tried using partial differentiation?
I am trying with that
But nothing is clicking me, tried everything
mera aa gya
sending in a min
Ohh, calculation error 😔
partial differentiation ho bohot jaldi jata hai but it takes patience to figure the appropriate values to put
thanks
yeah did some silly error in hindsight ðŸ˜
+solved @hardcoreisdead
Post locked and archived successfully!
Archived by
<@1199636217302618184> (1199636217302618184)
Time
<t:1750260506:R>
Solved by
<@741159941934415883> (741159941934415883)