turunan pertama dari

Kelas 11 Matematika
Bab Turunan

f(x) = (x² - 2x + 3) (2x + 1)

f'(x) = u' v + u v'
f'(x) = (2x - 2) . (2x + 1) + (x² - 2x + 3) . 2
f'(2) = (2 . 2 - 2) . (2 . 2 + 1) + 2 . (2² - 2 . 2 + 3)
f'(2) = (4 - 2) . (4 + 1) + 2 . (4 - 4 + 3)
f'(2) = 2 . 5 + 2 . 3
f'(2) = 10 + 6
f'(2) = 16

F(x) = (x² - 2x + 3)(2x + 1)
f(x) = 2x³ + x² - 4x² - 2x + 6x + 3
f(x) = 2x³ - 3x² + 4x + 3

f '(x) = 6x² - 6x + 4
f '(2) = 6(2)² - 6(2) + 4
f '(2) = 24 - 12 + 4
f '(2) = 16