Let $F ( x ) = \sin ( g ( x ) )$

question 203

Multiple Choice

Let $F ( x ) = \sin ( g ( x ) )$ where g is differentiable. Find $F ^ { \prime } ( x )$

• A) \(g ( x ) \cos x\)
• B) \(- g ( x ) \sin x\)
• C) \(- g ^ { \prime } ( x ) \sin x\)
• D) \(g ^ { \prime } ( x ) \cos x\)
• E) \(g ^ { \prime } ( x ) \cos ( g ( x ) )\)
• F) \(g ^ { \prime } ( x ) \sin ( g ( x ) )\)
• G) \(\cos ( g ( x ) )\)
• H) \(\cos \left( g ^ { \prime } ( x ) \right)\)

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Definitions:

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A pioneering psychologist and philosopher whose work in the late 19th century contributed significantly to the fields of psychology, particularly in the areas of education, religion, and pragmatism.

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