The first derivative of the function \( \left[\cos ^{-1}\left(\sin ... VIDEO
The first derivative of the function \( \left[\cos ^{-1}\left(\sin \sqrt{\frac{1+\mathrm{x}}{2}}\right)+\mathrm{x}^{\mathrm{x}}\right] \) with respect to \( x \) at \( x=1 \) is
\( \mathrm{P} \)
(1) \( \frac{3}{4} \)
(2) 0
(3) \( \frac{1}{2} \)
(4) \( -\frac{1}{2} \)
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