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Consider the following table of values of the functions f and g and their derivatives at various points. a. Find D (f[g(x)]) at x = 2. b. Find D,(g[f(x)]) at x = 1. X f(x) f'(x) g(x) g'(x) 1 4 -6 2 7/8 2 1 -4 3 1/8 3 3 -2 1 5/8 4 2 -9 4 3/8 Dx (f[g(x)]) at x = 2 is (Type an integer or a simplified fraction.) Dx(g[f(x)]) at x = 1 is. (Type an integer or a simplified fraction.)

Consider the following table of values of the functions f and g and their derivatives at various points. a. Find D (f[g(x)]) at x = 2. b. Find D,(g[f(x)]) at x = 1. X f(x) f'(x) g(x) g'(x) 1 4 -6 2 7/8 2 1 -4 3 1/8 3 3 -2 1 5/8 4 2 -9 4 3/8 Dx (f[g(x)]) at x = 2 is (Type an integer or a simplified fraction.) Dx(g[f(x)]) at x = 1 is. (Type an integer or a simplified fraction.)

Calculus: Early Transcendentals
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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A Consider the following table of values of the functions f and g and their derivatives at various points. a. Find D (f[g(x)]) at x = 2. b. Find D,(g[f(x)]) at x = 1. (a fil M ets: - A -x fir X f(x) f'(x) ns-and- culus g(x) g'(x) 1 4 -6 2 7/8 2 1 - 4 3 1/8 3 3 -2 1 5/8 4 2 -9 4 3/8 H a Dx(f[g(x)]) at x = 2 is (Type an integer or a simplified fraction.) Dx(g[f(x)]) at x = 1 is (Type an integer or a simplified fraction.)
Transcribed Image Text:A Consider the following table of values of the functions f and g and their derivatives at various points. a. Find D (f[g(x)]) at x = 2. b. Find D,(g[f(x)]) at x = 1. (a fil M ets: - A -x fir X f(x) f'(x) ns-and- culus g(x) g'(x) 1 4 -6 2 7/8 2 1 - 4 3 1/8 3 3 -2 1 5/8 4 2 -9 4 3/8 H a Dx(f[g(x)]) at x = 2 is (Type an integer or a simplified fraction.) Dx(g[f(x)]) at x = 1 is (Type an integer or a simplified fraction.)
Consider the following table of values of the functions f and g and their derivatives at various points. a. Find D (f[g(x)]) at x = 2. b. Find D (g[f(x)]) at x = 1. S A fir and- lus X f(x) f'(x) g(x) g'(x) 1 4 -6 2 7/8 2 1 -4 3 1/8 Q 3 3 -2 1 5/8 4 2 -9 4 3/8 H D 8 C Dx(f[g(x)]) at x = 2 is. (Type an integer or a simplified fraction.) Dx(g[f(x)]) at x = 1 is (Type an integer or a simplified fraction.)
Transcribed Image Text:Consider the following table of values of the functions f and g and their derivatives at various points. a. Find D (f[g(x)]) at x = 2. b. Find D (g[f(x)]) at x = 1. S A fir and- lus X f(x) f'(x) g(x) g'(x) 1 4 -6 2 7/8 2 1 -4 3 1/8 Q 3 3 -2 1 5/8 4 2 -9 4 3/8 H D 8 C Dx(f[g(x)]) at x = 2 is. (Type an integer or a simplified fraction.) Dx(g[f(x)]) at x = 1 is (Type an integer or a simplified fraction.)
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