turunan fungsi perkalian y=2x sin 3x

y = 2x sin3x

y' = 2x . 3 cos3x + 2 . sin3x
y' = 6x . cos3x + 2 sin3x

tuRUNan

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

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misal :
u = 2x ---> u' = 2
v = sin 3x ---> v' = 3 cos 3x

y = 2x sin 3x

y' = u'v + uv'
y' = 2 sin 3x + 2x . 3 cos 3x
y' = 2 sin 3x + 6x cos 3x