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Find the Critical Point(s) of the Function

question 132

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Find the critical point(s) of the function. Then use the second derivative test to classify the nature of each point, if possible. Finally, determine the relative extrema of the function. Find the critical point(s)  of the function. Then use the second derivative test to classify the nature of each point, if possible. Finally, determine the relative extrema of the function.   A)  (5, 4) ; relative maximum value: f(5, 4)  = 34 B)  (4, 5) ; relative minimum value: f(4, 5)  = 25 C)  (4, 5) ; saddle point: f(4, 5)  = 34

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Definitions:

Common Stock

A form of corporate equity ownership, a type of security that represents ownership in a corporation and gives holders voting rights and a share in the company's profits via dividends.

Paid-In Capital

Funds that shareholders contribute to a company in exchange for equity, beyond the par value of the shares.

Par Value

The face value of a stock or bond as stated by the issuing company, which does not necessarily reflect its market value.

Common Stock

A type of equity security that represents ownership in a corporation, with holders usually having voting rights and a claim on profits.

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