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Math Help - locate and classify the stationary points of a function!!

  1. #1
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    Unhappy locate and classify the stationary points of a function!!

    function:- f(x,y) = x^3+ (x^2)y + y^2 + 2y
    Thanks I have already worked out the 1st and 2nd partial derivatives. Help!
    Thanks
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  2. #2
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    Quote Originally Posted by acu04385 View Post
    function:- f(x,y) = x^3+ (x^2)y + y^2 + 2y
    Thanks I have already worked out the 1st and 2nd partial derivatives. Help!
    Thanks
    Solve \frac{\partial f}{\partial x} = 0 and \frac{\partial f}{\partial y} = 0 simultaneously. Then test the nature of the solutions.

    If you need more help, please show all your working and say where you get stuck.
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