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Let f(1)(x)= e^(x), f(2)(x)= e^(f(1)(x))...

Let `f_(1)(x)= e^(x), f_(2)(x)= e^(f_(1)(x)),……f_(n+1)(x)= e^(f_(n)(x))` for all `n ge 1`. The 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) (x)…..f_(1)(x)`

D

`f_(n)(x)…..f_(1)(x)e^(x)`

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