Question

Let $F(x) = f(f(x))$ and $G(x) = (F(x))^2$. You also know that $f(7) = 8, f(8) = 2, f'(8) = 9, f'(7) = 7$ Find $F'(7) =$ and $G'(7) =$

Name: let fx ffx and gx fx2 you also know that f7 8 f8 2 f8 9 f7 7 find f7 and g7 04992
Uploaded: 2022-03-21T03:28:21-08:00
Duration: 2 min 38 s
Channel: Supreeta N
Description: let fx ffx and gx fx2 you also know that f7 8 f8 2 f8 9 f7 7 find f7 and g7 04992

          Let $F(x) = f(f(x))$ and $G(x) = (F(x))^2$.
You also know that
$f(7) = 8, f(8) = 2, f'(8) = 9, f'(7) = 7$
Find $F'(7) =$ and $G'(7) =$

Added by F-Tima E.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Supreeta N

03/21/2022

Step 1

We want to find $F'(7)$. Using the chain rule, we have $F'(x) = f'(f(x)) \cdot f'(x)$. So, $F'(7) = f'(f(7)) \cdot f'(7)$. We are given $f(7) = 8$ and $f'(7) = 7$. Thus, $F'(7) = f'(8) \cdot 7$. We are given $f'(8) = 9$. So, $F'(7) = 9 \cdot 7 = 63$. Show more…

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