Let F(x) = f(f(x)) and G(x) = (F(x))² . You also know that f(5) = 3, f(3) = 2, f'(3) = 8, f'(5) = 14 Find F'(5) and G'(5)=

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
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Chapter1: Functions And Models
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Let F(x) = f(f(x)) and G(x) = (F(x))².
You also know that f(5) = 3, f(3) = 2, ƒ'(3) = 8, f'(5) = 14
Find F'(5)
=
and G'(5)
=
Transcribed Image Text:Let F(x) = f(f(x)) and G(x) = (F(x))². You also know that f(5) = 3, f(3) = 2, ƒ'(3) = 8, f'(5) = 14 Find F'(5) = and G'(5) =
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The answer was correct but I don't understand, how you got the number 2 on the last line.

G'(5) = 2 F(5) . F'(5)

        = (2) (2) (112) = 448

Because F(5)=3. Could you explain it, please? Thanks. 

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Follow-up Question

The answer was correct but I don't understand, how you got the number 2 on the last line.

G'(5) = 2 F(5) . F'(5)

        = (2) (2) (112) = 448

Because F(5)=3. Could you explain it, please? Thanks.

Solution
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