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    Finding maxima and minima of a mathematical function

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    Find the local maximum and minimum values and the saddle points of f(x,y) = 2xy + x-y.

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    https://brainmass.com/math/calculus-and-analysis/finding-maxima-and-minima-of-a-mathematical-function-18497

    Solution Preview

    A function of two variables has a local maximum at (a,b)
    <br>if f(x,y) =&lt; f(a,b) when (x,y) is near (a,b)
    <br>
    <br>The number f(a,b) is called a local maximum value.
    <br>
    <br>If f(x,y) &gt;= f(a,b) when (x,y) is near (a,b) then f(a,b) is a local minimum value. ...

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