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Given the following exponential function, find $f^\prime(0)$.

$$ f ( x )=e^{2^{3x}} $$

A

$e\cdot \ln { 2 } $

B

$3\ln { 2 } $

C

$3e\cdot \ln { 2 } $

D

$3e^{ 2 }\cdot \ln { 2 } $

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