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Using the Derivative of F(x) Given Below, Determine the Intervals f(x)=(1x)(9x)f ^ { \prime } ( x ) = ( 1 - x ) ( 9 - x )

Question 314

Multiple Choice

Using the derivative of f(x) given below, determine the intervals on which f(x) is increasing or decreasing.
- f(x) =(1x) (9x) f ^ { \prime } ( x ) = ( 1 - x ) ( 9 - x )


A) Decreasing on (,1) (9,) ( - \infty , - 1 ) \cup ( - 9 , \infty ) ; increasing on (1,9) ( - 1 , - 9 )
B) Decreasing on (,1) (9,) ( - \infty , 1 ) \cup ( 9 , \infty ) ; increasing on (1,9) ( 1,9 )
C) Decreasing on (1,9) ( 1,9 ) ; increasing on (,1) (9,) ( - \infty , 1 ) \cup ( 9 , \infty )
D) Decreasing on (,1) ( - \infty , 1 ) ; increasing on (9,) ( 9 , \infty )

Correct Answer:

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