1. The problem statement, all variables and given/known data I really, really don't understand. My work shows one thing, and a simple look at the function shows another. f(x,y) = .25x^2 + 5y^7 + 6y^2 - 3x Find global max and min if they exist. 2. Relevant equations 3. The attempt at a solution Took partial derivatives, solved each one for 0. .5x - 3 = 0 => x = 6 35y^6 + 12y = 0 => y = 0 So a critical point is at (6,0), period. Discriminant comes out to be [.5][210y^5 + 12] - 0 Which comes out to be 6, since y = 0. Therefore the discriminant is > 0, and the partial wrt x is > 0, so a global min occurs at (6,0). Period. But wait! I submit this answer, and it basically says "nah, forget all that math crap. As y grows without bound, so does the function, so no global max or min." ??? Shouldn't the normal process lead me to that conclusion SOME HOW?