Find the Derivative of the Function $$y = \frac { x ^ { 2 } - 3 x + 2 } { x ^ { 7 } - 2 }$$

question 177

Multiple Choice

Find the derivative of the function.
- $$y = \frac { x ^ { 2 } - 3 x + 2 } { x ^ { 7 } - 2 }$$

• A) \(y ^ { \prime } = \frac { - 5 x ^ { 8 } + 19 x ^ { 7 } - 14 x ^ { 6 } - 4 x + 6 } { \left( x ^ { 7 } - 2 \right) ^ { 2 } }\)
• B) \(y ^ { \prime } = \frac { - 5 x ^ { 8 } + 18 x ^ { 7 } - 13 x ^ { 6 } - 4 x + 6 } { \left( x ^ { 7 } - 2 \right) ^ { 2 } }\)
• C) \(y ^ { \prime } = \frac { - 5 x ^ { 8 } + 18 x ^ { 7 } - 14 x ^ { 6 } - 4 x + 6 } { \left( x ^ { 7 } - 2 \right) ^ { 2 } }\)
• D) \(y ^ { \prime } = \frac { - 5 x ^ { 8 } + 18 x ^ { 7 } - 14 x ^ { 6 } - 3 x + 6 } { \left( x ^ { 7 } - 2 \right) ^ { 2 } }\)

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