54 Part I: The Questions
375. Suppose that H is a function such that
′ =
H x
x
( ) 2 for x > 0. Find an expression for
the derivative of f
 
(x) = H(x
3
).
376. Let F x f g x
( )
( )
= (
), g(4) = 6, g '(4) = 8,
f
 
'(4) = 2, and f
 
'(6) = 10. Find the value of
F
 
'(4).
373. Let F x f g x
( )
( )
= (
), g(2) = –2, g '(2) = 4,
f '(2) = 5, and f '(–2) = 7. Find the value of
F '(2).
374. Let F x f f x
( )
( )
= (
), f (2) = –2, f '(2) = –5,
and f '(–2) = 8. Find the value of F '(2).