If $y = x{\rm{ }}\left[ {\left( {\cos \frac{x}{2} + \sin \frac{x}{2}} \right){\rm{ }}\left( {\cos \frac{x}{2} - \sin \frac{x}{2}} \right) + \sin x} \right] + \frac{1}{{2\sqrt x }}$, then $\frac{{dy}}{{dx}} = $

Question

Accepted Answer

$(1 + x)\cos x + (1 - x)\sin x - \frac{1}{{4x\sqrt x }}$

Answer

$(1 - x)\cos x + (1 + x)\sin x + \frac{1}{{4x\sqrt x }}$

Answer

$(1 + x)\cos x + (1 + x)\sin x - \frac{1}{{4x\sqrt x }}$

Answer

None of these

differentiation

Question: If $y = x{\rm{ }}\left[ {\left( {\cos \frac{x}{2} + \sin \frac{x}{2}} \right){\rm{ }}\left( {\cos \frac{x}{2} - \sin \frac{x}{2}} \right) + \sin x} \right] + \frac{1}{{2\sqrt x }}$, then $\frac{{dy}}{{dx}} = $

differentiation

Question: If $y = x{\rm{ }}\left[ {\left( {\cos \frac{x}{2} + \sin \frac{x}{2}} \right){\rm{ }}\left( {\cos \frac{x}{2} - \sin \frac{x}{2}} \right) + \sin x} \right] + \frac{1}{{2\sqrt x }}$, then $\frac{{dy}}{{dx}} = $

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