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Math Help - Differentiate two variables and find stationary point

  1. #1
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    Differentiate two variables and find stationary point

    Question: Consider the function, f, of two variables defined by f(x,y) = (x^2 - 9)*sin(y). Find all the stationary points of f and classify each of them as either a local maximum, local minimum or a saddle point.

    How would I answer this question?
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  2. #2
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    Re: Differentiate two variables and find stationary point

    At the stationary points f_x=f_y=0.

    To classify them you need to consider f_{xx}, f_{xy} \text{ and } f_{yy}.

    This is all in your notes presumably and it's quite routine.

    There are some good videos out there and of course there's Wikipedia.
    Thanks from topsquark
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