Differentiate \( \sin ^{-1}\left(4 x \sqrt{1-4 x^{2}}\right) \) wit...

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Differentiate \( \sin ^{-1}\left(4 x \sqrt{1-4 x^{2}}\right) \) with respect to \( \sqrt{1-4 x^{2}} \), if
\( \mathrm{P} \)
\[
x \in\left(-\frac{1}{2 \sqrt{2}}, \frac{1}{2 \sqrt{2}}\right)
\]
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