If f(x) and g(x) are continuous functions and use the table below to evaluate c'(-1). x -2 -1 f(x) g(x) f'(x) g'(x) -5 2 1 -3 1 1 2 -1 4 -4 0 3 -3 -5 -2 -4 0 1 -1 14 2 -4 c(x) = f(g(x)) 4 2

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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If f(x) and g(x) are continuous functions and
c(x) = f(g(x))
use the table below to evaluate c'(-1).
x f(x) g(x) f'(x) g'(x)
-2 -5
2
1 -3
-1
1
1
2 -1
0
4
-4
0 3
1
-1
-3
-5
4
2
-4
-2
-4
2
Transcribed Image Text:If f(x) and g(x) are continuous functions and c(x) = f(g(x)) use the table below to evaluate c'(-1). x f(x) g(x) f'(x) g'(x) -2 -5 2 1 -3 -1 1 1 2 -1 0 4 -4 0 3 1 -1 -3 -5 4 2 -4 -2 -4 2
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