Differentiate \[ \sqrt{\frac{x^{2}+a^{2}}{x^{2}-a^{2}}} \cdot \sqrt[3]{\frac{x^{2}-a^{2}}{x^{2}+...

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Differentiate
\[
\sqrt{\frac{x^{2}+a^{2}}{x^{2}-a^{2}}} \cdot \sqrt[3]{\frac{x^{2}-a^{2}}{x^{2}+a^{2}}}
\]
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