Answer:
dy/dx = d/dx sin(x-3/x+2)
dy/dx = cos(x-3/x+2) . d/dx (x-3/x+2)
dy/dx = cos(x-3/x+2) . (x + 2 - x + 3)/(x+2)²
dy/dx = [5cos(x-3/x+2)]/(x + 2)²
