engineering recuitment AAI ATC Junior Executive 2025 Mock Test Series Mathematics Differential Calculus Evaluation of derivatives
If \(\rm y = \sqrt{\sin x+\sqrt{\sin x+\sqrt{\sin x+...\infty}}}\), then \(\rm \dfrac{dy}{dx}=\)
1
\(\rm \dfrac{\cos x}{y-1}\)
2
\(\rm \dfrac{\cos x}{2y-1}\)
3
\(\rm \dfrac{\sin x}{2y-1}\)
4
\(\rm \dfrac{\cos x}{2y+1}\)