Question

Turunan dr 8x^2 : (4-x)^2

Answer 1

Verified answer

Bab Differensial
Matematika SMA Kelas XI

f(x) = u/v
f'(x) = (u' v - u v')/v²

f(x) = (8x²) / (4 - x)²
f'(x) = (2 . 8x (4 - x)² - 8x² . 2 . (4 - x) . (-1)) / ((4 - x)²)²
f'(x) = (6x (16 - 8x + x²) + 64x² - 16x³) / (4 - x)⁴
f'(x) = (96x - 48x² + 6x³ + 64x² - 16x³) / (4 - x)⁴
f'(x) = (-10x³ + 16x² + 96x) / (4 - x)⁴