TS EAMCET · Maths · Differentiation
If \(y=\sqrt{x+\sqrt{y+\sqrt{x+\sqrt{y+\ldots \infty}}}}\), then \(\frac{d y}{d x}=\)
- A \(\frac{y^3-x}{2 y^2-2 x y+1}\)
- B \(\frac{x+y^3}{2 y^2-x}\)
- C \(\frac{y+x}{y^2-2 x}\)
- D \(\frac{y^2-x}{2 y^3-2 x y-1}\)
Answer & Solution
Correct Answer
(D) \(\frac{y^2-x}{2 y^3-2 x y-1}\)
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