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**katerinaaa****Member**- Registered: 2010-01-27
- Posts: 4

Hi, I would like your help in the following problem

Locate all relative maxima, relative minima and saddle points, if any, for the function

$$

f(x,y,z)=1-x^2-y^2-z^2

$$

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

Hi;

Have you been taught Lagrangian multipliers?

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**katerinaaa****Member**- Registered: 2010-01-27
- Posts: 4

I know that I use Lagrange multipliers when I have constraints ..

Is there any example for my case to follow up .?

Thanks in advance

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

Hi;

You can use 1 for the constraints. I am getting a maxima of 1 at (0,0,0).

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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