Danskin's theorem
In convex analysis, Danskin's theorem is a theorem which provides information about the derivatives of a function of the form f ( x ) = max z ∈ Z ϕ ( x , z ) . {\displaystyle f(x)=\max _{z\in Z}\phi (x,z).} The theorem has applications in optimization, where it sometimes is used to solve minimax problems.