At What Value of X Does the Function $f ( x ) = 3 x - \sqrt [ 3 ] { x }$

question 94

Multiple Choice

At what value of x does the function $f ( x ) = 3 x - \sqrt [ 3 ] { x }$ change from increasing to decreasing?

• A) \(\frac { 1 } { 8 }\)
• B) \(\frac { 1 } { 2 }\)
• C) \(\frac { 1 } { 3 }\)
• D) \(\frac { 1 } { 27 }\)
• E) \(\frac { 1 } { 9 }\)
• F) \(\frac { \sqrt { 3 } } { 4 }\)
• G) \(\frac { \sqrt { 3 } } { 3 }\)
• H) \(\frac { 1 } { 32 }\)

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