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# Critical Point : Non-Degenerate

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Show that f(x) = x1x2 + x2x3 + x3x1 has a non - degenerate critical point at
x = 0 and describe the shape of f as concretely as possible.

https://brainmass.com/math/graphs-and-functions/critical-point-non-degenerate-15693

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Show that has a non-degenerate critical point at and describe the shape of as concretely as possible.

Part a): Proof. In order to show that has a non-degenerate critical point at , we need to do two things, one is to show that is a critical point of , the ...

#### Solution Summary

A function is shown to have a non-degenerate critical point. The solution is detailed, well presented and includes color diagrams of the function.

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