Use the Given Information to Find $f ^ { \prime } ( 2 )$

question 61

Multiple Choice

Use the given information to find $f ^ { \prime } ( 2 )$ of the function $f ( x ) = g ( x ) h ( x )$ . $g ( 2 ) = 3 \text { and } g ^ { \prime } ( 2 ) = - 2 , h ( 2 ) = - 1 \text { and } h ^ { \prime } ( 2 ) = 4$

• A) \(f ^ { \prime } ( 2 ) = 14\)
• B) \(f ^ { \prime } ( 2 ) = - 11\)
• C) \(f ^ { \prime } ( 2 ) = 17\)
• D) \(f ^ { \prime } ( 2 ) = - 9\)
• E) \(f ^ { \prime } ( 2 ) = 12\)

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