To find dy/dx, we need to take the derivative of y with respect to x. Using the product rule of differentiation, we have:
dy/dx = (sinx) + (x)(cosx)
So, when x = ?/2, we can substitute this value into the expression to get:
dy/dx = (sin(?/2)) + (?/2)(cos(?/2))
We know that sin(?/2) = 1 and cos(?/2) = 0, so we can simplify the expression:
dy/dx = (1) + (?/2)(0)
dy/dx = 1
Therefore, the answer is 1.