turunan pertama fungsi g(x) = (3x^2 + 2) (4x-1)

g(x) = u x v

u = 3x^2 + 2
u' = 6x

v = 4x-1
v' = 4

g'(x) = u'v + uv'
= 6x(4x - 1) + (3x^2 + 2)4
= 24x^2 - 6x + 12x^2 + 8
= 36x^2 - 6x + 8

Bab Differensial
Matematika SMA Kelas X

g(x) = (3x² + 2) (4x - 1)
g(x) = 12x³ - 3x² + 8x - 2
g'(x) = 3 . 12x² - 2 . 3x + 8
g'(x) = 36x² - 6x + 8