Final 2021, exo 4.b

Re: Final 2021, exo 4.b

par Thomas Weinberger,
Nombre de réponses : 0
Dear Marina,

Ignoring the big-O notation for a moment, the first derivative is equal to \frac{1}{2}\sqrt{ \frac{k n \log(n)} {m} } - \frac{n}{m^2} . Setting this to zero and solving for m, you obtain the optimal choice for m (as I explained above, the first order optimality condition holds even though the function is strictly speaking not convex).

Best,

Thomas