grandes-ecoles 2019 Q6

grandes-ecoles · France · centrale-maths1__pc Stationary points and optimisation Find absolute extrema on a closed interval or domain

Determine $\max_{1 \leqslant p \leqslant n-1} \left( n^{2} - pn + p^{2} \right)$.

Determine $\max_{1 \leqslant p \leqslant n-1} \left( n^{2} - pn + p^{2} \right)$.