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Using the Derivative of F(x) Given Below, Determine the Intervals f(x)=x1/3(x6)f ^ { \prime } ( x ) = x ^ { 1 / 3 } ( x - 6 )

Question 237

Multiple Choice

Using the derivative of f(x) given below, determine the intervals on which f(x) is increasing or decreasing.
- f(x) =x1/3(x6) f ^ { \prime } ( x ) = x ^ { 1 / 3 } ( x - 6 )


A) Decreasing on (,0) (6,) ( - \infty , 0 ) \cup ( 6 , \infty ) ; increasing on (0,6) ( 0,6 )
B) Decreasing on (0,6) ( 0,6 ) ; increasing on (,0) (6,) ( - \infty , 0 ) \cup ( 6 , \infty )
C) Decreasing on (0,6) ( 0,6 ) ; increasing on (6,) ( 6 , \infty )
D) Increasing on (0,) ( 0 , \infty )

Correct Answer:

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