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

question 541

Multiple Choice

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

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