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Math Help - stationary point of multivariable function

  1. #1
    tak
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    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
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  2. #2
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    Set  \nabla f = 0 and solve.
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  3. #3
    tak
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    Can't seems to get the stationary point

    i got y=0 and x=-1. how to get the other point?
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  4. #4
    tak
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    max min point

    (-1,0) min point? correct?
    (1,0) max point correct?
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  5. #5
    tak
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    solve

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