Turunan pertama dari f(x)=(3x-2)(x+3)^3

F(x) = (3x-2)(x +3)^3
U = 3x – 2, U' =3
V = (x+3)^3, V' = 3(x+3)^2

F'(x) = U'V + UV'
F'(x) = 3(x+3)^3 + (3x-2)3(x+3)^2
F'(x) = 3(x+3)^2 (x+3+ 3x – 2)
F'(x) = 3(x+3)^2 (4x + 1)
F'(x) = 3(x^2 + 6x +9)(4x + 1)
F'(x) = 3(4x^3 + x^2 + 24x^2 + 6x + 36x +9)
F'(x) = 3(4x^3 + 25x^2 + 42x + 9)
F'(x) = 12x^3 + 75x^2 + 126x + 27

F:(3x-2)(x+3)^3
F:3x+x-2+27
F:4x+25