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A local minimum A local minimum |
The contour map of a extreme point The contour map of a extreme point 
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A saddle point A saddle point |
The contour map of a saddle The contour map of a saddle 
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Surface has 4 critical points Yellow, magenta, and orange critical points are saddles Purple critical point is a local maximum Surface has 4 critical points Yellow, magenta, and orange critical points are saddles Purple critical point is a local maximum |
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