Tentukan turunan fungsi dari a f(x)=(4-x) (3x+9) dimana x-1

Mapel Matematika
Bab Turunan

f(x)=(4-x) (3x+9)
= 12x + 36 - 3x^2 - 9x
= -3x^2 + 3x + 36

f'(x) = -6x + 3

f'(x-1) = -6(x - 1) + 3 = -6x + 6 + 3 = -6x + 9

- Turunan Fungsi -

f(x) = (4-x)(3x+9)
f(x) = 12x+36-3x²-9x
f(x) = 12x-9x+36-3x²
f(x) = -3x²+3x+36
f'(x) = -6x+3

maka, f(x-1) = -6(x-1) + 3 = -6x+6+3 = -6x+9

semoga membantu
-vin