If \( y=\tan ^{-1} \frac{a}{x}+\log \sqrt{\frac{x-a}{x+a}} \), prov...

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If \( y=\tan ^{-1} \frac{a}{x}+\log \sqrt{\frac{x-a}{x+a}} \), prove that \( \frac{d y}{d x}=\frac{2 a^{3}}{\left(x^{4}-a^{4}\right)} \).
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