Answer
$y'=csc(\frac{2}{x})cot(\frac{2}{x})+xcsc(\frac{2}{x})$
Work Step by Step
Take the derivative of the equation using Product Rule, Power Rule, and Trigonometric derivatives:
$y'=\frac{1}{2}x^2\times-csc(\frac{2}{x})cot(\frac{2}{x})\times\frac{-2}{x^2}+xcsc(\frac{2}{x})$
$=csc(\frac{2}{x})cot(\frac{2}{x})+xcsc(\frac{2}{x})$