Teaching UP TGT Mock Test Series 2025 Mathematics Differential Calculus Evaluation of derivatives

If \(y = {\tan ^{ - 1}}\sqrt {\frac{{a - x}}{{a + x}}} \) , then \(\frac{{dy}}{{dx}}\)=

1
\({\cos ^{ - 1}}\frac{x}{a}\)
2
\(- {\cos ^{ - 1}}\frac{x}{a}\)
3
\(\frac{1}{2}{\cos ^{ - 1}}\frac{x}{a}\)
4
None of these
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