How do you minimize and maximize $f (x, y) = sin x \cdot cos y - tan x$ $f(x,y)=sinx*cosy-tanx$ constrained to $0 < x - y < 1$ $0<x-y<1$ ?

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Answer 1 · 2017-02-19T09:41:12

See below.

There are infinite relative minima due to the objective function periodicity. The near points to the origin are located at

$((f(x,y),x,y,"type"),(0,-pi,-pi,"minimum"),(0,0,0,"minimum"),(0,pi,pi,"minimum"))$

Attached the feasible region plot with the level chart associated to the objective function.

enter image source here

How do you minimize and maximize f(x,y)=sinx*cosy-tanxf(x,y)=sinx⋅cosy−tanxf(x,y)=sinx*cosy-tanx constrained to 0<x-y<10<x−y<10<x-y<1?