# Difference between revisions of "Math 22 Lagrange Multipliers"

If ${\displaystyle f(x,y)}$ has a maximum or minimum subject to the constraint ${\displaystyle g(x,y)=0}$, then it will occur at one of the critical numbers of the function  defined by
${\displaystyle F(x,y,\lambda )=f(x,y)-\lambda g(x,y)}$