# Math Help - stationary point of multivariable function

1. ## stationary point of multivariable function

A three-dimensional surface is given by the function
f= x(3-x^2-y^2)

1)show that the points (1,0) and (-1) are stationary points of the function

2) Determine the nature(maximum or minimum of the stationary points at (1,0)
and (-1,0)

3) Determine the location of the other two stationary points of the function

2. Set $\nabla f = 0$ and solve.

3. ## Can't seems to get the stationary point

i got y=0 and x=-1. how to get the other point?

4. ## max min point

(-1,0) min point? correct?
(1,0) max point correct?

5. ## solve

I manage to solve it....
fx=fy=0