Differentiate the following function ^ -1 [x 1-x + x 1-x^ 2 ]
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
Differentiate the following function
\(\sin ^{-1}\left[x \sqrt{1-x}+\sqrt{x} \sqrt{1-x^{2}}\right]\)
- \(\frac{1}{\sqrt{1-x^{2}}}+\frac{1}{\sqrt{1-x}} \cdot \frac{1}{2 \sqrt{x}}\)
- \(\frac{1}{\sqrt{1-\mathrm{x}^{2}}}+\frac{1}{\sqrt{\mathrm{x}}} \cdot \frac{1}{\sqrt{1-\mathrm{x}}}\)
- \(\frac{1}{\sqrt{x} \cdot \sqrt{1-x^{2}}}+\frac{1}{2 \sqrt{x} \cdot \sqrt{1-x}}\)
- None of these
Answer
(D) None of these
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