Jika f(x)=(3x²+2)(4x-2) maka f'(x) adalah

Turunan Fungsi Aljabar.
Matematika wajib kelas XI kurikulum 2013 revisi 2016.

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

Catatan:
f(x) = axⁿ
f'(x) = anxⁿ⁻¹

Turunan :
f(x) = ax^n
f'(x) = an . x^(n-1)

f(x) = (3x^2 + 2)(4x - 2)
Jika f(x) = uv , maka f'(x) = u'v + uv'

u = (3x^2 + 2) , u' = 6x
v = (4x - 2) , v' = 4

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