Find the Derivative of the Function $$y = \frac { 1 } { 6 } ( 8 x + 10 ) ^ { 3 } + \left( 1 - \frac { 1 } { x ^ { 3 } } \right) ^ { - 1 }$$

question 19

Multiple Choice

Find the derivative of the function.
- $$y = \frac { 1 } { 6 } ( 8 x + 10 ) ^ { 3 } + \left( 1 - \frac { 1 } { x ^ { 3 } } \right) ^ { - 1 }$$

• A) \(\frac { 1 } { 2 } ( 8 x + 10 ) ^ { 2 } - \left( 1 - \frac { 1 } { x ^ { 3 } } \right) ^ { - 2 }\)
• B) \(\frac { 1 } { 2 } ( 8 x ) ^ { 2 } - \left( \frac { 3 } { x ^ { 4 } } \right) ^ { - 2 }\)
• C) \(\frac { 4 } { 3 } ( 8 x + 10 ) ^ { 2 } + \frac { 3 } { x ^ { 4 } } \left( 1 - \frac { 1 } { x ^ { 3 } } \right) ^ { - 2 }\)
• D) \(4 ( 8 x + 10 ) ^ { 2 } - \frac { 3 } { x ^ { 4 } } \left( 1 - \frac { 1 } { x ^ { 3 } } \right) ^ { - 2 }\)

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