# 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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#### Solution Preview

A function of two variables has a local maximum at (a,b)

<br>if f(x,y) =< f(a,b) when (x,y) is near (a,b)

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<br>The number f(a,b) is called a local maximum value.

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<br>If f(x,y) >= f(a,b) when (x,y) is near (a,b) then f(a,b) is a local minimum value. ...

#### Solution Summary

Very detail answer with easy to understand steps.

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