defence exam Agniveer Vayu Group X & XY Mock Test 01/2026 Mathematics Differential Calculus Evaluation of derivatives
If \(y=\sin ^{-1}\left(\frac{5 x+12 \sqrt{1-x^{2}}}{13}\right) \text { then } \frac{d y}{d x}\) equals
1
\(\frac{-2 x}{\sqrt{1-x^{2}}}\)
2
\(\frac{-1}{\sqrt{1+x^{2}}}\)
3
\(\frac{1}{\sqrt{1-x^{2}}}\)
4
\(\frac{2 x}{\sqrt{1-x^{2}}}\)