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Find the derivative of the function:

$$ f(x)=\sqrt{\sin(x)+x}$$

Select ALL that may apply.

$ (\cos(x)+1)^{1/2}$

$1/2 (\sin(x)+x)^{-1/2}$

$1/2 (\sin(x)+x)^{-1/2}(\cos (x)+1)$

$\cfrac{cos(x)+1}{2 \sqrt{sin (x)+x}}$