If y= x+ x+ x+ then dy dx is equal to

Mathematics · JEE Main · NTA ExamsLimit, Continuity and Differentiability

If \(y=\sqrt{\sin x+\sqrt{\sin x+\sqrt{\sin x+\ldots \infty}}}\)then \(\frac{\mathrm{dy}}{\mathrm{dx}}\) is equal to
  1. \(\frac{\cos x}{2 y-1}\)
  2. \(\frac{-\cos x}{2 y-1}\)
  3. \(\frac{\sin x}{1-2 y}\)
  4. \(\frac{-\sin x}{1-2 y}\)

Answer

(A) x 2 y-1

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