Differentiate sin(2x)/x^2 w.r.t. x

Quotient Rule:d(u/v)/dx = (vu' - uv')/(v²)u = sin(2x) => u' = 2cos(2x)v = x² => v' = 2x=> (2x²cos(2x) - 2xsin(2x))/(x⁴)Product Rule:d(uv)/dx = vu' + uv'u = sin(2x) => u' = 2cos(2x)v = 1/x² = x^-2 => v' = -2x^-3=> 2x^-2cos(2x) - 2x^-3sin(2x)