(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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].

3. 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?

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# Homework Help: Multiple variables - check understanding

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