Consider the following table of values of the functions f and g and their derivatives at various points. 3 4 f(x) f'(x) -5 -6 -7 -11 g(x) 4 g'(x) 2/9 3/10 4/11 6/13 Find the following using the table. 51. (a) D,(f[g(x)]) at x = 2 (b) D(f[g(x)]) at x = 3

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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Consider the following table of values of the functions f and g
and their derivatives at various points.
3
4
f(x)
f'(x)
-5
-6
-7
-11
g(x)
4
g'(x)
2/9
3/10
4/11
6/13
Find the following using the table.
51. (a) D,(f[g(x)]) at x = 2
(b) D(f[g(x)]) at x = 3
Transcribed Image Text:Consider the following table of values of the functions f and g and their derivatives at various points. 3 4 f(x) f'(x) -5 -6 -7 -11 g(x) 4 g'(x) 2/9 3/10 4/11 6/13 Find the following using the table. 51. (a) D,(f[g(x)]) at x = 2 (b) D(f[g(x)]) at x = 3
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