Question

Turunan X kuadrat sin kuadrat (2X kuadrat )

Tolong jelasin please yg lengkap

Answer 1

Pakai turunan u.v
y = u.v
y' = u'v + uv'

y = x² sin² (2x²)
y' = 2x sin² (2x²) + x² (2 sin (2x²) cos (2x²)) (4x)
   = 2x sin² (2x²) + 4x³ sin 2(2x²)
   = 2x sin² (2x²) + 4x³ sin (4x²)

note:
sin 2a = 2 sin a cos a