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

question 63

Multiple Choice

Find $f ^ { \prime }$ in terms of $g ^ { \prime }$ .
$$f ( x ) = [ g ( x ) ] ^ { 4 }$$

• A) \(f ^ { \prime } ( x ) = 4 g ( x )\)
• B) \(f ^ { \prime } ( x ) = 4 [ g ( x ) ] ^ { 3 } g ^ { \prime } ( x )\)
• C) \(f ^ { \prime } ( x ) = 4 \left[ g ^ { \prime } ( x ) \right] ^ { 3 }\)
• D) \(f ^ { \prime } ( x ) = 4 [ g x ] \left[ x g ^ { \prime } + g \right]\)
• E) \(f ^ { \prime } ( x ) = 4 g ^ { \prime } ( x )\)

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Definitions:

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