Diketahui f(x)=(x pangkat 2 + 2x – 1) (2x+3) tentukanlah f'(x)

TuruNaN

f(x) = (x² + 2x – 1)(2x + 3)
u  = x² + 2x – 1 → u' = 2x + 2
v = 2x + 3 → v' = 2

y = uv → y' = u'v + uv'

f ' (x) =  (2x +2)(2x + 3) + (x² + 2x – 1).(2)
f ' (x) = (4x² + 10x + 6 + 2x² + 2x – 2
f ' (x) =  (4 +2) x² + (10+2) x + (6 – 2)
f ' (x) = 6x² +12x – 4