step 1:

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 The function is \"\".

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Apply first derivative with respect to \"\".

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\"\"

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\"\"

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\"\"

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To find the relative extrema, by equating \"\".

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\"\"

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Apply zero product property

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\"\" and \"\"

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\"\" and \"\"

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Hence, the critical values of \"\" are \"\" and  \"\".

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substitute \"\" in \"\".

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\"\"

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\"\"

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Hence,  \"\"

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The point is \"\".

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Substitute \"\" in \"\".

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\"\"

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\"\"

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Hence,  \"\".

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The point is \"\".

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The relative extrema points are \"\" and \"\".

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Using second derivative test, determine the relative extrema.

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Apply second derivative with respect to \"\".

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\"\"

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\"\".

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Point\"\"\"\"
Sign of \"\" \

\"\"

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\"\"

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ConclusionRelative maximumRelative minimum
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The relative maximum at \"\".

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The relative minimum at \"\".

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Solution:

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The relative maximum at \"\".

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The relative minimum at \"\".