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@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.factorise the given eqn as (f'(x)-4)(f'''(x)-4) = 0
using lmvt we observe theres atleast one point in (1,2 ) and one in (2,3) where f'(x)=4
f'''(x)= 4 kaise dekhe
bhai answer 2 ha?
@hardcoreisdead
na
fwaeh
rukjo fir
f'()=4 ke 2 roots.
Now pehle wale interval mein there exists c1 s.t. f'(c1)=4, similarly c2, s.t. f'(c2)=4, f'(c3)=8.
After this there exist d1 and d2 s.t. f''(d1)=0, f''(d2)=4
So, f'''(e)=4 for some e.
Since both f''' and f' can't both be 4 for the same argument, is the answer 3?
Actually it might also be 4, I got lazy lol.
In the second line, there are some cases I missed, do check them out too.
To be closed when bot is fixed
+solved @SirLancelotDuLac
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