The functions fand g are twice- differentiable and have the following table of values: (a) Let h(x) = f(g(x)). Find the equation of the tangent line to h at x = 2. (b) Let j(x) = f(x) · g(x). Find j'(3). (c) Evaluate ff"(x) dx. X 1 2 3 4 f(x) 3 2 5 -1 f'(x) 4 3 2 -6 g(x) -2 4 -8 g'(x) -4 -2 3 0

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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Please see the attached picture of the Calculus problem, thank you.

The functions fand g are twice-
F
differentiable and have the following table of
values:
(a) Let h(x) = f(g(x)). Find the equation of the
tangent line to h at x = 2.
(b) Let j(x) = f(x) · g(x). Find j'(3).
(c) Evaluate f* f'(x) dx.
X
1
2
3
f(x)
3
2
5
-1
f'(x)
4
3
2
g(x)
-2
4
-8
ww
g'(x)
-2
3
Transcribed Image Text:The functions fand g are twice- F differentiable and have the following table of values: (a) Let h(x) = f(g(x)). Find the equation of the tangent line to h at x = 2. (b) Let j(x) = f(x) · g(x). Find j'(3). (c) Evaluate f* f'(x) dx. X 1 2 3 f(x) 3 2 5 -1 f'(x) 4 3 2 g(x) -2 4 -8 ww g'(x) -2 3
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