Show that f(x,y) = x 2 + 4xy + 3y 2 does not have a minimum at (0,0) even though it has

Chapter 6, Problem 6.1.16

(choose chapter or problem)

Show that f(x,y) = x 2 + 4xy + 3y 2 does not have a minimum at (0,0) even though it has positive coefficients. Write f as a difference of squares and find a point (x,y) where f is negative.

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