Calculate the Derivative of the Function $\left( 4 x ^ { 2 } + 2 x + 2 \right) ^ { - 4 }$

question 80

Multiple Choice

Calculate the derivative of the function. $\left( 4 x ^ { 2 } + 2 x + 2 \right) ^ { - 4 }$

• A) \(g ^ { \prime } ( x ) = \left( - 16 x ^ { 2 } + 8 x + 8 \right) ^ { - 5 }\)
• B) \(g ^ { \prime } ( x ) = - 4 ( 8 x + 2 ) \left( 4 x ^ { 2 } + 2 x + 2 \right) ^ { - 5 }\)
• C) \(g ^ { \prime } ( x ) = - 32 \left( 4 x ^ { 2 } + 2 x + 2 \right) ^ { - 5 }\)
• D) \(g ^ { \prime } ( x ) = - 4 ( 8 x + 2 ) \left( 4 x ^ { 2 } + 2 x + 2 \right)\)
• E) \(g ^ { \prime } ( x ) = - 4 \left( 4 x ^ { 2 } + 2 x + 2 \right) ^ { - 5 }\)

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