If I'm asked to locate all absolute maxima and minima is it necessary to complete the square of the equation first? Or can I simply start by taking partial derivatives?
f(x,y)=13-6x+(x^2)+4y+(y^2)

Question

If I'm asked to locate all absolute maxima and minima is it necessary to complete the square of the equation first? Or can I simply start by taking partial derivatives?
f(x,y)=13-6x+(x^2)+4y+(y^2)

babyslapmafro · Answer

My book is asking to complete the squares and locate all absolute maxima and minima.

babyslapmafro · Answer

What is the purpose of completing the square? Is it necessary?

babyslapmafro · Answer

Ok I think I understand, If you complete the square, that allows you to tell whether the equation will have a max or min by inspection.  

Is that correct?