Find $f ^ { \prime }$ In Terms Of $g ^ { \prime }$

question 53

Multiple Choice

Find $f ^ { \prime }$ in terms of $g ^ { \prime }$ .
$f ( x ) = x ^ { 7 } g ( x )$

• A) \(f ^ { t } ( x ) = 7 x ^ { 6 } f ^ { \prime } ( x ) + x ^ { 7 } g ^ { \prime } ( x )\)
• B) \(f ^ { t } ( x ) = 7 x ^ { 6 } g ^ { \prime } ( x )\)
• C) \(f ^ { t } ( x ) = 7 x ^ { 6 } g ( x ) + 7 x ^ { 7 } g ^ { \prime } ( x )\)
• D) \(f ^ { t } ( x ) = 7 x ^ { 6 } g ( x ) + x ^ { 7 } g ^ { \prime } ( x )\)
• E) \(f ^ { t } ( x ) = 7 x ^ { 6 } + g ^ { \prime } ( x )\)

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