Find the Critical Point(s) of the Function

question 85

Multiple Choice

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) (1, 5) and (2, 5); saddle point: f(1, 5) = - 47; relative minimum value: f(2, 5) = - 48
• B) (1, 5) and (2, 5); relative maximum value: f(1, 5) = - 48; relative minimum value: f(2, 5) = 47
• C) (1, 5); saddle point: f(1, 5) = - 47
• D) (2, 5); relative maximum value: f(2, 5) = 48
• E) there are no critical points

---

Definitions:

Required Reserve Ratio

A mandated reserve that banks must keep on hand, usually a percentage of their deposits, determined by the central bank to ensure financial stability.

Checkable Deposits

Checkable deposits are bank account balances that depositors can easily withdraw or write checks against at any time, constituting a primary medium of exchange for personal and business transactions.

Required Reserve Ratio

The proportion of depositors' balances banks must have on hand as cash, mandated by the central bank.

Excess Reserves

The reserves held by banks that are greater than the minimum amounts required by regulators, which can be lent out or invested.