Step 1:

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The function is \"\".

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Differentiate with respect to \"\".

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\"\"

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Find the critical number by equating \"\" to zero.

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\"\"

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Step 2:

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Critical point is \"\".

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Since the function is cube root function, So we do not consider negative values of \"\".\"\"

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Test intervals are  \"\".

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IntervalTest ValueSign of \"\"Conclusion
\"\"\"\" \

 

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\"\"

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Decreasing
\"\"\"\" \

 

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\"\"

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Increasing
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Thus, the function is decreasing on the interval \"\" and increasing on the interval \"\".

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Solution:

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The function \"\" is increasing on interval \"\".

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