Mathematics

Mathematics

Problem

If −13<x<13-\frac{1}{\sqrt{3}} < x < \frac{1}{\sqrt{3}}, differentiate tan⁡−1(3x−x31−3x2)\tan^{-1}\left(\frac{3x-x^3}{1-3x^2}\right) with respect to tan⁡−1(2x1−x2)\tan^{-1}\left(\frac{2x}{1-x^2}\right).

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