MHT CET · Maths · Differentiation
If \(\mathrm{y}=\sqrt{x+\sqrt{\mathrm{y}+\sqrt{x+\sqrt{\mathrm{y}+\ldots \ldots \infty}}}}\), then \(\frac{\mathrm{dy}}{\mathrm{d} x}=\)
- A \(2 y-1\)
- B \(\frac{1}{2 y-1}\)
- C \(\frac{y^2-x}{2 y^3-2 x y-1}\)
- D \({ }^{14} C_6\)
Answer & Solution
Correct Answer
(C) \(\frac{y^2-x}{2 y^3-2 x y-1}\)
Step-by-step Solution
Detailed explanation
\(\mathrm{y}=\sqrt{x+\sqrt{2\mathrm{y}}}\) \(\mathrm{y}^2=x+\sqrt{2\mathrm{y}}\)
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