# Extrema and saddle points

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Examine each function for relative extrema and saddle points:

f (x,y) = x^2 - 3xy + y^2

Â© BrainMass Inc. brainmass.com December 15, 2022, 7:23 pm ad1c9bdddfhttps://brainmass.com/math/graphs-and-functions/extrema-saddle-points-216982

#### Solution Preview

We are given f(x, y) = x^2 - 3xy + y^2.

We calculate

f_x = 2x - 3y

f_y = -3x + 2y

so the ...

#### Solution Summary

This provides an example of finding relative extrema and saddle points.

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