Find the Derivative of the Function $$y = \frac { ( x + 4 ) ( x + 1 ) } { ( x - 4 ) ( x - 1 ) }$$

question 111

Multiple Choice

Find the derivative of the function.
- $$y = \frac { ( x + 4 ) ( x + 1 ) } { ( x - 4 ) ( x - 1 ) }$$

• A) \(y ^ { \prime } = \frac { - x ^ { 2 } + 8 } { ( x - 4 ) ^ { 2 } ( x - 1 ) ^ { 2 } }\)
• B) \(y ^ { \prime } = \frac { - 10 x ^ { 2 } + 40 } { ( x - 4 ) ^ { 2 } ( x - 1 ) ^ { 2 } }\)
• C) \(y ^ { \prime } = \frac { 10 x ^ { 2 } - 40 } { ( x - 4 ) ^ { 2 } ( x - 1 ) ^ { 2 } }\)
• D) \(\mathrm { y } ^ { \prime } = \frac { 10 \mathrm { x } - 40 } { ( \mathrm { x } - 4 ) ^ { 2 } ( \mathrm { x } - 1 ) ^ { 2 } }\)

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