hitunglah turunan f'(3) = (3x-2)³(3-x²)

Kelas 11 Matematika
Bab Turunan

^ = pangkat

u = (3x - 2)^3
u' = 3 (3x - 2)² . 3
u' = 9 (3x - 2)²

v = (3 - x²)
v' = -2x

f(x) = (3x - 2)^3 . (3 - x²)
f'(x) = 9 (3x - 2)² . (3 - x²) + (3x - 2)^3 . (-2x)
f'(3) = 9 (3 . 3 - 2)² . (3 - 3²) + (3 . 3 - 2)^3 . (-2 . 3)
f'(3) = 9 (9 - 2)² . (3 - 9) + (9 - 2)^3 . (-6)
f'(3) = 9 . 49 . (-6) + 343 . (-6)
f'(3) = -2.646 - 2.058
f'(3) = -4.704