Differentiate $\sin ^{-1}\left(4 x \sqrt{1-4 x^{2}}\right)$ with respect to $\sqrt{1-4 x^{2}}$ if, (i) $x \epsilon\left(-\frac{1}{2 \sqrt{2}}, \frac{1}{2 \sqrt{2}}\right)$ (ii) $x \in\left(\frac{1}{2 \sqrt{2}}, \frac{1}{2}\right)$