tentukan d/dx. 2y=sin2(4t+3)

jawab

2y = sin² (4t +3)
y = 1/2 sin² (4t +3)
{** ingat cos 2x = 1 - 2 sin² x  atau 2 sin² x = 1 - cos 2x}

y = 1/2 sin²(4t +3)
y = 1/4  {2 sin² (4t +3)}
y = 1/4 (1 - cos 2(4t+3) )
y = 1/4 - 1/4 cos (8t+6)

dy/dt = 0  - 1/4 (8) (- sin (8t +6))
dy/dt = 0 -  2 ( - sin (8t +3))
dy/dt =  2 sin (8t + 6)