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Find the Derivative of the Function r(x)=3x6x0.62+86x1.68r ( 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) =3x6x0.62+86x1.68r ( x ) = \frac { 3 x } { 6 } - \frac { x ^ { 0.6 } } { 2 } + \frac { 8 } { 6 x ^ { 1.6 } } - 8


A) r(x) =360.62x0.4+12.86x2.6r ^ { \prime } ( x ) = \frac { 3 } { 6 } - \frac { 0.6 } { 2 x ^ { 0.4 } } + \frac { 12.8 } { 6 x ^ { 2.6 } }
B) r(x) =360.6x0.42+12.8x2.66r ^ { \prime } ( x ) = \frac { 3 } { 6 } - \frac { 0.6 x ^ { 0.4 } } { 2 } + \frac { 12.8 x ^ { 2.6 } } { 6 }
C) r(x) =360.62x0.412.86x2.6r ^ { \prime } ( x ) = \frac { 3 } { 6 } - \frac { 0.6 } { 2 x ^ { 0.4 } } - \frac { 12.8 } { 6 x ^ { 2.6 } }
D) r(x) =360.62x0.612.86x1.6r ^ { \prime } ( x ) = \frac { 3 } { 6 } - \frac { 0.6 } { 2 x ^ { 0.6 } } - \frac { 12.8 } { 6 x ^ { 1.6 } }
E) r(x) =360.6x1.6212.86x0.6r ^ { \prime } ( x ) = \frac { 3 } { 6 } - \frac { 0.6 x ^ { 1.6 } } { 2 } - \frac { 12.8 } { 6 x ^ { 0.6 } }

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