[m]y(x0) = y(1) = \frac{2}{1 - 2} - 3 = -2 - 3 = -5[/m]
[m]y'(x) = \frac{2(x - 2) - 2x \cdot 1}{(x-2)^2} = \frac{2x - 4 - 2x}{(x-2)^2} = \frac{- 4}{(x-2)^2}[/m]
[m]y'(1) = \frac{- 4}{(1-2)^2} = -4[/m]
Уравнение касательной:
f(x) = y(x0) + y'(x0)*(x - x0)
f(x) = -5 - 4*(x - 1)
f(x) = -4x - 1