Find the Derivative of the Function $$y = \frac { ( x - 8 ) \left( x ^ { 2 } + 2 x \right) } { x ^ { 3 } }$$

question 525

Multiple Choice

Find the derivative of the function.
- $$y = \frac { ( x - 8 ) \left( x ^ { 2 } + 2 x \right) } { x ^ { 3 } }$$

• A) \(\frac { d y } { d x } = x - \frac { 32 } { x ^ { 2 } } - \frac { 32 } { x ^ { 3 } }\)
• B) \(\frac { d y } { d x } = \frac { 6 } { x ^ { 2 } } + \frac { 32 } { x ^ { 3 } }\)
• C) \(\frac { d y } { d x } = \frac { 10 } { x ^ { 2 } } - \frac { 32 } { x ^ { 3 } }\)
• D) \(\frac { d y } { d x } = 32 + \frac { 32 } { x }\)

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Definitions:

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