Using the Derivative of F(x) Given Below, Determine the Intervals $$f ^ { \prime } ( x ) = x ^ { 1 / 3 } ( x - 7 )$$

question 28

Multiple Choice

Using the derivative of f(x) given below, determine the intervals on which f(x) is increasing or decreasing.
- $$f ^ { \prime } ( x ) = x ^ { 1 / 3 } ( x - 7 )$$

• A) Decreasing on \(( 0,7 )\); increasing on \(( - \infty , 0 ) \cup ( 7 , \infty )\)
• B) Increasing on \(( 0 , \infty )\)
• C) Decreasing on \(( 0,7 )\); increasing on \(( 7 , \infty )\)
• D) Decreasing on \(( - \infty , 0 ) \cup ( 7 , \infty )\); increasing on \(( 0,7 )\)

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