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Suppose That F(x)=f(g(x))F ( x ) = f ( g ( x ) )

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Suppose that F(x)=f(g(x))F ( x ) = f ( g ( x ) ) and g(14)=2,g′(14)=4,f′(14)=15g ( 14 ) = 2 , g ^ { \prime } ( 14 ) = 4 , f ^ { \prime } ( 14 ) = 15 , and f′(2)=13f ^ { \prime } ( 2 ) = 13 .
Find F′(14)F ^ { \prime } ( 14 ) .

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