Teaching BPSC 4.0 बिहार उच्च माध्यमिक शिक्षक भर्ती (PGT) Mock Test Mathematics Differential Calculus Evaluation of derivatives
If u = \(\rm \sin^{−1}\left(\frac{2 x}{1+x^2}\right)\) and v = \(\rm \tan^{−1}\left(\frac{2x}{1−x^2}\right)\), then \(\frac{du}{dv}\) is
1
\(\frac{1}{2}\)
2
x
3
\(\rm \frac{1−x^2}{1+x^2}\)
4
1
5
None of the above