Suppose h = f(g(x)). Find h'(0) given that f(0) = 3, f '(3) = -5, g(0) = 3, and g '(0) = 5. h '(0) =

If you could give a detailed description of how you got the answer it would be appreciated. Thanks!

I have used two method which gives two different answer Please check with answer

Method 1
h(0) = f ( g(0) )

h(0) = f ( 3)

h ' (0 ) = f '(3 ) = - 5

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Method 2 refer source
if h = f(g(x)) then

h ' (x) = f ' ( g(x) ) g ' (x)

h ' (0 ) = f ' ( g(0) ) g ' (0)

h ' (0 ) = f ' (3 ) g ' (0)

= -5 * 5 = - 25