AP EAMCET · Maths · Differentiation
If \(y=\sqrt{\sin x+\sqrt{\sin x+\sqrt{\sin x+\ldots . \infty}}}\) then the value of \(\frac{d^2 y}{d x^2}\) at the point \((\pi, 1)\) is
- A 2
- B -2
- C \(-\frac{1}{2}\)
- D \(\frac{1}{2}\)
Answer & Solution
Correct Answer
(B) -2
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & y=\sqrt{\sin x+\sqrt{\sin x+\sqrt{\sin x+\ldots \ldots \infty}}} \\ & \Rightarrow y=\sqrt{\sin x+y} \Rightarrow y^2=\sin x+y \end{aligned}\) Differentiating w.r.t. \(x\)…
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