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If function g(x) = x^3 + E^(4x) and f(x)...

If function g(x) `= x^3 + E^(4x)` and f(x) = `g^(-1)`(x), then the value of `f' (1)` is

A

`1/4`

B

4

C

`1/(3+4 e^4)`

D

`3+4 e^4`

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The correct Answer is:
A
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