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

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 $( 0,7 )$