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If $$y = \frac{\sqrt{x+1}x^2 - \sqrt{x}}{x\sqrt{x} + x + \sqrt{x}} + \frac{1}{15}(3\cos 2x - 5\cos 3x)$$, then $$96y'\left(\frac{\pi}{6}\right)$$ is equal to:
Correct Answer: 105
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