Mathematics · Differentiation
If y = Sin-1 √(1 + sin x) + √(1 - sin x)√(1 + sin x) - √(1 - sin x) and -3π2 < x < -π2, then dydx =
- 1cos(x/2)√(cos x)
- 2|cos(x/2)|2√(cos x)
- 3|sec(x/2)|2√(cos x)✓
- 4- |cosec(x/2)|2√(sin2(x/2) - cos2(x/2))
Correct answer
|sec(x/2)|2√(cos x)
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