Find the Local Maximum, and Minimum Value and Saddle Points $$f ( x , y ) = x ^ { 2 } - x y + y ^ { 2 } - 9 x + 6 y + 9$$

question 4

Short Answer

Find the local maximum, and minimum value and saddle points of the function.
$$f ( x , y ) = x ^ { 2 } - x y + y ^ { 2 } - 9 x + 6 y + 9$$

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Definitions:

Profit

The financial gain achieved when the amount of revenue gained from business activities exceeds the expenses, costs, and taxes involved in sustaining the activity.

Unrealised

Refers to profits or losses that have occurred on paper due to changes in value but have not been realized through an actual transaction.

Consolidation

The process of combining the financial statements of separate but related entities to present as those of a single economic entity.

NCI

Non-Controlling Interest, a minority shareholding in a subsidiary not owned by the parent company, reflecting those shareholders' claim on assets and earnings.