f(x)=2lnx;
f(x₀) = 2lne = 2;
f'(x) = ;
f'(x₀) = ;
y = f(x₀) + f'(x₀)(x-x₀) = 2 + (x-e) = 2 + - 2 = 2xe⁻¹
f(x)=2lnx;
f(x₀) = 2lne = 2;
f'(x) =
;
f'(x₀) =
;
y = f(x₀) + f'(x₀)(x-x₀) = 2 +
(x-e) = 2 + 
- 2 = 2xe⁻¹