Find the Derivative of the Function $$y = \frac { ( x - 10 ) \left( x ^ { 2 } + 4 x \right) } { x ^ { 3 } }$$

question 77

Multiple Choice

Find the derivative of the function.
- $$y = \frac { ( x - 10 ) \left( x ^ { 2 } + 4 x \right) } { x ^ { 3 } }$$

• A) \(\frac { d y } { d x } = x - \frac { 80 } { x ^ { 2 } } - \frac { 80 } { x ^ { 3 } }\)
• B) \(\frac { d y } { d x } = \frac { 6 } { x ^ { 2 } } + \frac { 80 } { x ^ { 3 } }\)
• C) \(\frac { d y } { d x } = \frac { 14 } { x ^ { 2 } } - \frac { 80 } { x ^ { 3 } }\)
• D) \(\frac { \mathrm { dy } } { \mathrm { dx } } = 80 + \frac { 80 } { \mathrm { x } }\)

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