- #1
Niles
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Homework Statement
A function g(x,y) = 3x^2-x-y+y^2. I have to find the minimum and maximum of the function on D = [0,1] x [0,1].
The Attempt at a Solution
First I have to check the ends; I mean (0,0), (0,1), (1,0) and (1,1). I also have to check the points, where the gradient is zero: (1/6,1/2).
I insert x = 0, x = 1, y = 0 and y = 1 in g(x,y) and differentiate and equal to zero - then I have 4 new poins to check.
I also insert x = 1/6 and y = 1/2 and do the same as above.
So totally I have 11 points to check?