-1/2
Пошаговое объяснение:
f(x) = 2 - 6 × x**1/3
f'(x) = -6×1/3 × x**(1/3 - 1) = -2 × x**(-2/3)
f'(8) = -2 × 8**(-2/3) = -2 × (1/8)**(2/3) = -2 × (1/2**3)**(2/3) = -2 × (1/2)**2 = -1/2
-1/2
Пошаговое объяснение:
f(x) = 2 - 6 × x**1/3
f'(x) = -6×1/3 × x**(1/3 - 1) = -2 × x**(-2/3)
f'(8) = -2 × 8**(-2/3) = -2 × (1/8)**(2/3) = -2 × (1/2**3)**(2/3) = -2 × (1/2)**2 = -1/2