Question

Sin2x cos4x differentiatian

Answer 1

let y =sin2x.cos4x
use concept ,
y=g(x).f(x)
differentiate wrt x
dy/dx =g(x).df(x)/dx+ f(x).dg(x)/dx

now,
y =sin2x .cos4x
differentiate wrt x
dy/dx = sin2x.d(cos4x)/dx+cos4x.d(sin2x)/dx
=sin2x.4(-sin4x)+cos4x(2cosx)
=2cos4x.cos2x-4sin4x.sin2x