Let h(x)=f(g(x)) and p(x) = g(f(x)). Use the table below to compute the following derivatives. a. h'(4) b. p (1) x f(x) f'(x) g(x) g'(x) 1 3 -1 4 4 9 2 2 -2 3 8 .9 3 4 -4 1 5 9 4 1 -9 2 1 9 h'(4)= (Simplify your answer.) p'(1)= (Simplify your answer.)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Let h(x) = f(g(x)) and p(x) = g(f(x)). Use the table below to compute the following derivatives.
a. h'(4)
b. p'(1)
X
f(x)
f'(x)
g(x)
g'(x)
1
3
-1
4
4
9
2
2
-2
3
8
.9
3
4
-4
1
5
9
4
1
-9
N-10
2
9
h'(4)=
p'(1)=
(Simplify your answer.)
(Simplify your answer.)
Transcribed Image Text:Let h(x) = f(g(x)) and p(x) = g(f(x)). Use the table below to compute the following derivatives. a. h'(4) b. p'(1) X f(x) f'(x) g(x) g'(x) 1 3 -1 4 4 9 2 2 -2 3 8 .9 3 4 -4 1 5 9 4 1 -9 N-10 2 9 h'(4)= p'(1)= (Simplify your answer.) (Simplify your answer.)
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