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f(n)(x)=e^(f(n-1^(x))) for all n inN and...

`f_(n)(x)=e^(f_(n-1^(x)))` for all `n inN` and `f_0(x) = x` , then `(d)/(dx){f_(n)(x)}` is

A

`f_(n)(x)(d)/(dx){f_(n-1)(x)}`

B

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

C

`f_(n)(x)f_(n-1)(x)....f_(2)(x).f_(1)(x)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A, C
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