Дифференцируйте функцию: y=sin (4x+p/6)

Y=sin (4x+π/6) = sin4x*cosπ/6+cos4x*sinπ/6

y' = (sin4x*cosπ/6) ' + (cos4x*sinπ/6) '=

((sin4x) ' * cosπ/6 + sin4x * (cosπ/6) ') + ((cos4x) ' * sinπ/6 + cos4x * (sinπ/6) ') =

(4*cos4x*cosπ/6 - sin4x*sinπ/6) + (-4*sin4x*sinπ/6+cos4x*cosπ/6)

Осталось преобразовать.