Calculate the Derivative of the Function $s ( x ) = \left( \frac { 8 x + 5 } { 2 x - 6 } \right) ^ { 6 }$

question 26

Multiple Choice

Calculate the derivative of the function. $s ( x ) = \left( \frac { 8 x + 5 } { 2 x - 6 } \right) ^ { 6 }$

• A) \(s ^ { \prime } ( x ) = - 6 \left( \frac { 8 x + 5 } { 2 x - 6 } \right) ^ { 5 } \frac { 58 x } { ( 2 x - 6 ) ^ { 2 } }\)
• B) \(s ^ { \prime } ( x ) = - 6 \left( \frac { 8 x + 5 } { 2 x - 6 } \right) ^ { 5 } \frac { 48 } { ( 2 x - 6 ) ^ { 2 } }\)
• C) \(s ^ { \prime } ( x ) = \left( \frac { 8 x + 5 } { 2 x - 6 } \right) ^ { 5 } \frac { 58 } { ( 2 x - 6 ) ^ { 2 } }\)
• D) \(s ^ { \prime } ( x ) = - 6 \left( \frac { 8 x + 5 } { 2 x - 6 } \right) ^ { 5 } \frac { 58 } { ( 2 x - 6 ) ^ { 2 } }\)
• E) \(s ^ { \prime } ( x ) = 6 \left( \frac { 8 x + 5 } { 2 x - 6 } \right) ^ { 5 }\)

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