Differentiate ^ -1 ( 1+ x ^ 2 + 1- x ^ 2 1+ x ^ 2 - 1- x ^ 2 ) w.f.t. x .
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
Differentiate \(\tan ^{-1}\left(\frac{\sqrt{1+\mathrm{x}^{2}}+\sqrt{1-\mathrm{x}^{2}}}{\sqrt{1+\mathrm{x}^{2}}-\sqrt{1-\mathrm{x}^{2}}}\right) \text { w.f.t. } \mathrm{x}\).
- \(\frac{\mathbf{x}}{\sqrt{1-\mathbf{x}^{4}}}\)
- \(\frac{\mathbf{2 x}}{\sqrt{1-\mathbf{x}^{4}}}\)
- \(\frac{-\mathbf{x}}{\sqrt{1-\mathbf{x}^{4}}}\)
- None of these
Answer
(C) - x 1- x ^ 4
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