f(x) = x^2018 + 2018x + 2
Ecuatia tangentei care trece prin punctul de abscisa x=0:
[tex]y-y_0 = y'_0(x-x_0)[/tex]
f(0) = 2
f'(x) = 2018x^2017+2018 => f'(0) = 2018 => [tex]y'_0 = 2018[/tex]
=> ec. tangentei: y - 2 = 2018·(x-0) => ec. tangentei: y = 2018x+2
A(a ,2020) ∈ ec. tangentei: y = 2018x+2
=> 2020 = 2018a+2 => a = 1