If y = cot⁻¹ ( (√(1 + sin x) + √(1 - sin x)) / (√(1 + sin x) - √(1 - sin x)) ), where 0 < x < π/2, then dy/dx is equal to - NDA Mathematics 2015 (II)

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If y = cot⁻¹ ( (√(1 + sin x) + √(1 – sin x)) / (√(1 + sin x) – √(1 – sin x)) ), where 0 < x < π/2, then dy/dx is equal to