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I have an assignment I will hand in for grading.

First part

I want to see if I have understood the consept correctly.

Determine max and min of $f(x,y)=xy $ on the triangle T with the corners $(0, 0), (0, 1)\:and\:(1, 0)$

I derived and got a critical point at $(0,0)$ which I evaluated to $0$.

Secondly I inspected the boundary lines of which only the hypotenuse was interesting x+y=1 where I only found one critical point and that was larger than 0.

Is it correct minimum value was 0?

Second part

Are there any analytical online tools where I can write functions and boundaries and get the max and min values?

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    For the first part, you should also check the vertices of the triangle, for the same reason you check the boundaries of the domain.2012-09-27

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