Find the Derivative of the Function $r ( x ) = \frac { 3 x } { 6 } - \frac { x ^ { 0.6 } } { 2 } + \frac { 8 } { 6 x ^ { 1.6 } } - 8$

question 30

Multiple Choice

Find the derivative of the function.
$r ( x ) = \frac { 3 x } { 6 } - \frac { x ^ { 0.6 } } { 2 } + \frac { 8 } { 6 x ^ { 1.6 } } - 8$

• A) \(r ^ { \prime } ( x ) = \frac { 3 } { 6 } - \frac { 0.6 } { 2 x ^ { 0.4 } } + \frac { 12.8 } { 6 x ^ { 2.6 } }\)
• B) \(r ^ { \prime } ( x ) = \frac { 3 } { 6 } - \frac { 0.6 x ^ { 0.4 } } { 2 } + \frac { 12.8 x ^ { 2.6 } } { 6 }\)
• C) \(r ^ { \prime } ( x ) = \frac { 3 } { 6 } - \frac { 0.6 } { 2 x ^ { 0.4 } } - \frac { 12.8 } { 6 x ^ { 2.6 } }\)
• D) \(r ^ { \prime } ( x ) = \frac { 3 } { 6 } - \frac { 0.6 } { 2 x ^ { 0.6 } } - \frac { 12.8 } { 6 x ^ { 1.6 } }\)
• E) \(r ^ { \prime } ( x ) = \frac { 3 } { 6 } - \frac { 0.6 x ^ { 1.6 } } { 2 } - \frac { 12.8 } { 6 x ^ { 0.6 } }\)

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