Exercises

01

Lagrange multipliers

Find the extreme values taken by the function on the curve that is given by the equation:

• (a) $f(x,y)=x^2-y^2$, $x^2+y^2=1$
• (b) $f(x,y)=xy{e}^{-x^2-y^2}$, $2x-y=0$