Exact argument that minimizes an expression (optionally subject to constraints and over a Reals or Integers domain)
ArgMin[f, x]
ArgMin[f, {x, y, …}]
ArgMin[{f, cons}, {x, y, …}]
ArgMin[…, x ∈ rdom]
ArgMin[…, …, dom]
ArgMin[2x ^ 2 - 3x + 5, x]
→ 3/4ArgMin[(x y - 3) ^ 2 + 1, {x, y}]
→ {3/y, 3/x}ArgMin[{x - 2y, x ^ 2 + y ^ 2 ≤ 1}, {x, y}]
→ {-(1/Sqrt[5]), 2/Sqrt[5]}