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Given f^(prime)(1)=1 and d/(dx)(f(2x))=...

Given `f^(prime)(1)=1` and `d/(dx)(f(2x))=f^(prime)(x)AAx > 0`.If `f^(prime)(x)` is differentiable then there exies a number `c in (2,4)` such that `f''(c)` equals

A

`1/4`

B

`(-1)/(2)`

C

`-(1)/(4)`

D

`-1/8`

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The correct Answer is:
D
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