Find All Relative Extrema of the Function $f ( x ) = \sqrt { 36 - x ^ { 2 } }$

question 6

Multiple Choice

Find all relative extrema of the function $f ( x ) = \sqrt { 36 - x ^ { 2 } }$ . Use the Second-Derivative Test when applicable.

• A)The relative minimum is \(( 0,6 )\) and the relative maximum is \(( - 6,0 )\) .
• B)The relative maximum is \(( 0,6 )\) .
• C)The relative minimum is \(( 0,6 )\) .
• D)The relative maximum is \(( 0,6 )\) and the relative minima are \(( 6,0 )\) and \(( - 6,0 )\) .
• E)The relative minimum is \(( 0,6 )\) and the relative maximum is \(( 6,0 )\) .

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