Find All Relative Extrema of the Function $f ( x ) = x ^ { 8 / 9 } - 3$

question 6

Multiple Choice

Find all relative extrema of the function $f ( x ) = x ^ { 8 / 9 } - 3$ . Use the Second Derivative Test where applicable.

• A) relative max: \(( 1 , - 2 )\); no relative min
• B) no relative max or min
• C) relative min: \(( 0 , - 3 )\); no relative \(\max\)
• D) relative max: \(( 1 , - 2 )\); relative min: \(( 0 , - 3 )\)
• E) relative max: \(( 0 , - 3 )\); no relative min

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