Question

Let $h(x) = f(g(x))$ and $k(x) = (f(x))^8$. Suppose that $f$ and $g$ are differentiable functions such that: $f(1) = 7$, $f'(1) = 2$, $f'(4) = 3$, $g(1) = 4$, $g'(1) = 8$. Find $h'(1)$ and $k'(1)$. $h'(1) = $ $k'(1) =

          Let $h(x) = f(g(x))$ and $k(x) = (f(x))^8$.
Suppose that $f$ and $g$ are differentiable functions such that:
$f(1) = 7$, $f'(1) = 2$, $f'(4) = 3$, $g(1) = 4$, $g'(1) = 8$.
Find $h'(1)$ and $k'(1)$.
$h'(1) = $
$k'(1) =

Added by Lori F.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

05/31/2022

Step 1

h'(x) = f'(g(x)) * g'(x) Show more…

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Let h(x)=f(g(x)) and k(x)=(f(x))^(8). Suppose that f and g are differentiable functions such that: f(1)=7,f^(')(1)=2,f^(')(4)=3,g(1)=4,g^(')(1)=8. Find h^(')(1) and k^(')(1). h^(')(1)= k^(')(1)= Let h(x)=f(g(x)) and k(x)=(f(x))8 Suppose that f and g are differentiable functions such that: f(1)=7,f'1)=2,f'4=3,g1)=4,g'1)=8 Find h'(1) and k'(1) h'(1)= k'(1)=