Question: I would appreciate having a solution written with nice handwriting and detail explanations. Find all the local minima and local maxima of the following function

I would appreciate having a solution written with nice handwriting and detail explanations.

I would appreciate having a solution written with
Find all the local minima and local maxima of the following function on R3: x2 + 6xy + 2 - 3yz + 422 - 10x - 5y -21z

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