jika f(x)= (2x-1)² (x+2). maka f ' (x) adalah...

Bab Differensial
Matematika SMA Kelas XI

f(x) = (2x - 1)² . (x + 2)
f'(x) = 2 . (2x - 1) . 2 (x + 2) + (2x - 1)² . 1
f'(x) = 4 (2x² + 4x - x - 2) + 4x² - 4x + 1
f'(x) = 8x² + 12x - 8 + 4x² - 4x + 1
f'(x) = 12x² + 8x - 7

f(x) = (2x - 1)² (x + 2)
f(x) = (4x² - 4x + 1) (x + 2)
f(x) = 4x³ + 8x² - 4x² - 8x + x + 2
f(x) = 4x³ + 4x² - 7x + 2

f'(x) = 12x² + 8x - 7