tentukan turunan fungsi (x-1)(x²-3x+2)

f(x) = (x-1)(x²-3x+2)
      = x^3-3x^2+2x-x^2+3x-2
      = x^3-4x^2+5x-2
f'(x) = 3x^2-8x+5

•Misal
u= (x-1)
v=(x²-3x+2)

maka:
u' = 1
v' =2x-3

Sehingga penerapan rumus
f'(x) = u'v + v'u
= 1(x²+3x+2) + (x-1)(2x-3)
= (x²+3x+2) + (2x²-3x-2x+3)
= (x²+3x+2) + (2x²-5x+3)
= 3x²-8x+5