Math Is Fun Forum

katerinaaa

Member

Registered: 2010-01-27

Posts: 4

How can I find the minima, maxima when I have multivariable problem

Hi, I would like your help in the following problem

Locate all relative maxima, relative minima and saddle points, if any, for the function
$$
f(x,y,z)=1-x^2-y^2-z^2
$$

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: How can I find the minima, maxima when I have multivariable problem

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.

katerinaaa

Member

Registered: 2010-01-27

Posts: 4

Re: How can I find the minima, maxima when I have multivariable problem

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

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

Thanks in advance

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: How can I find the minima, maxima when I have multivariable problem

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.