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Let f1(x)=e^x,f2(x)=e^(f1(x)),"........"...

Let `f_1(x)=e^x,f_2(x)=e^(f_1(x)),"........",f_(n+1)(x)=e^(f_n(x))` for all `nge1`. Then for any fixed `n,(d)/(dx)f_n(x)` is

A

`f_n(x)`

B

`f_n(x)f_(n-1)(x)`

C

`f_n(x)f_(n-1)...f_1(x)`

D

`f_n(x)...f_1(x)e^x`

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The correct Answer is:
C
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