If y = √(sin x + √(sin x + √(sin x + ... ∞)), then dy/dx is:
If y = √(sin x + √(sin x + √(sin x + ... ∞)), then dy/dx is:
- A. cos x/(2y − 1)
- B. cos x/(2y + 1)
- C. sin x/(2y − 1)
- D. cos x/(y − 1)
Answer: A) cos x/(2y − 1)
Explanation: y = √(sin x + y) → y² = sin x + y → 2y y′ = cos x + y′ → y′(2y − 1) = cos x → y′ = cos x/(2y − 1).
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