Question:medium
If \(f(x) = \frac{\sqrt{2\sin x}}{\sqrt{1 + \cos 2x}}\), then \(f'\left(\frac{\pi}{6}\right) =\)
If \(f(x) = \frac{\sqrt{2\sin x}}{\sqrt{1 + \cos 2x}}\), then \(f'\left(\frac{\pi}{6}\right) =\)
Show Hint
\(1 + \cos 2\theta = 2\cos^2 \theta\). Always consider the sign of \(\cos x\).
Updated On: Apr 27, 2026
- \(\frac{1}{4}\)
- \(\frac{2}{3}\)
- \(\frac{4}{3}\)
- \(\frac{1}{2}\)
- \(\frac{3}{4}\)
Show Solution
The Correct Option is C
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