Find the Derivative of the Function $$y = ( x + 1 ) ^ { 2 } \left( x ^ { 2 } + 1 \right) ^ { - 3 }$$

question 523

Multiple Choice

Find the derivative of the function.
- $$y = ( x + 1 ) ^ { 2 } \left( x ^ { 2 } + 1 \right) ^ { - 3 }$$

• A) \(\frac { 2 ( x + 1 ) \left( 2 x ^ { 2 } + 3 x - 1 \right) } { \left( x ^ { 2 } + 1 \right) ^ { 4 } }\)
• B) \(\frac { 2 ( x + 1 ) \left( 2 x ^ { 2 } - 3 x - 1 \right) } { \left( x ^ { 2 } + 1 \right) ^ { 4 } }\)
• C) \(\frac { - 2 ( x + 1 ) \left( 2 x ^ { 2 } - 3 x - 1 \right) } { \left( x ^ { 2 } + 1 \right) ^ { 4 } }\)
• D) \(\frac { - 2 ( x + 1 ) \left( 2 x ^ { 2 } + 3 x - 1 \right) } { \left( x ^ { 2 } + 1 \right) ^ { 4 } }\)

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