Verified answer

Ответ:

y = 2x - 2/3

Пошаговое объяснение:

y = f'(x₀)(x - x₀) + f(x₀)

f(1) = 1 + 1/3 = 1 1/3

f'(x) = 1 + x²

f'(1) = 2

y = 2(x - 1) + 1 1/3 = 2x - 2 + 1 1/3 = 2x - 2/3