If $f(x) = \sin^{-1} \left( \frac{2^{x+1}}{1 + 4^x} \right)$, then $f'(0) =\)
$2 \log 2$
$\log 2$
$\frac{2 \log 2}{5}$
$\frac{4 \log 2}{5}$
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