Not much to do here other than take the derivative, which will require the product rule for the second term.

\[y' = 4\left( {{\textstyle{1 \over 2}}} \right){x^{ - \,\,\frac{1}{2}}}\,\csc \left( x \right) + 4\sqrt x \,\left( { - \csc \left( x \right)\cot \left( x \right)} \right) = \require{bbox} \bbox[2pt,border:1px solid black]{{2{x^{ - \,\,\frac{1}{2}}}\,\csc \left( x \right) - 4\sqrt x \,\csc \left( x \right)\cot \left( x \right)}}\]