Question

Turunan pertama f(x)= (x^2 -2x)^3

Answer 1

Verified answer

Kelas 11 Matematika
Bab Turunan

^ artinya pangkat

f(x) = (x² - 2x)^3
f'(x) = 3 . (x² - 2x)² . (2x - 2)
f'(x) = (6x - 6) . (x^4 - 4x^3 + 4x²)
f'(x) = 6x^5 - 24x^4 + 24x^3 - 6x^4 + 24x^3 - 24x²
f'(x) = 6x^5 - 30x^4 + 48x^3 - 24x²

Answer 2

Verified answer

F(x) = (x^2 - 2x)^3

misal :

f(a) = x^2 - 2x => f'(a) = 2x - 2

f'(x) = n(f(a))^n-1 (f'(a))
f'(x) = 3(x^2 - 2x)^3-1 (2x - 2)
f'(x) = (x^2 - 2x)^2 (6x - 6)