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Homework Help
Calculus and Beyond Homework Help
Find all critical points, and identify them as minima, maxima, or
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[QUOTE="Jormungandr, post: 4487908, member: 436275"] [h2]Homework Statement [/h2] Consider the function f(x,y) = (x[SUP]2[/SUP] + 4y[SUP]2[/SUP])e[SUP](1-x[SUP]2[/SUP]-y[SUP]2[/SUP])[/SUP] Find all critical points, and identify them as maxima, minima, or saddle points. [h2]The Attempt at a Solution[/h2] I took the partial of x and the partial of y, and set them equal to 0. This is what I got: f[SUB]x[/SUB](x,y) = 4y[SUP]2[/SUP] - x[SUP]2[/SUP] - 1 = 0 f[SUB]y[/SUB](x,y) = 4y - 2x[SUP]2[/SUP] + 4 = 0 But from here I'm kind of lost. I took Calc 3 a year ago, last fall, and now I've had to recall a lot of it for my PChem class. This is one of our homework questions, and I'm just having a lot of trouble remembering what the steps are for this. Help is greatly appreciated. Thanks! [/QUOTE]
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Homework Help
Calculus and Beyond Homework Help
Find all critical points, and identify them as minima, maxima, or
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