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 For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.CR: Chapter 9 Review
Problem 54CR
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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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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. 

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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
Bartleby Expert
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