6. A table of the functions f (x) and f'(x) and a graph of the piecewise lincar function g(x) are shown below. f (x) | f'(x) -1 11 -7 2 -2 1 -2 9. 3 3 4 4 1 2 2 y = g(x) (a) Given h(x) = f(g(x)), find h'(0). (b) Given p(x) = (g(x))³, find p'(2). (c) Given k(x) = g(f(x))²/³, find k'(1).

6. A table of the functions f (x) and f'(x) and a graph of the piecewise lincar function g(x) are shown below. f (x) | f'(x) -1 11 -7 2 -2 1 -2 9. 3 3 4 4 1 2 2 y = g(x) (a) Given h(x) = f(g(x)), find h'(0). (b) Given p(x) = (g(x))³, find p'(2). (c) Given k(x) = g(f(x))²/³, find k'(1).

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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Question

6. A table of the functions f(x) and f′(x) and a graph of the piecewise linear functiong (x) are shown below.

6. A table of the functions f (x) and f'(x) and a graph of the piecewise lincar function g(x) are
shown below.
f (x) | f'(x)
-1
11
-7
2
-2
1
-2
9.
3
3
4
4
1
2
2
y = g(x)
(a) Given h(x) = f(g(x)), find h'(0).
(b) Given p(x) = (g(x))³, find p'(2).
(c) Given k(x) = g(f(x))²/³, find k'(1).

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