Use the information in the table to find h'(a) at the given value of a. h(x) = g(f(x)); a = 0 h'(a) = X 0 1 2 3 f(x) || f'(x) | g(x)| g'(x) 3 1 LO 5 2 6 -3 5 -2 0 2 1 3 3 0 2 -1
Use the information in the table to find h'(a) at the given value of a. h(x) = g(f(x)); a = 0 h'(a) = X 0 1 2 3 f(x) || f'(x) | g(x)| g'(x) 3 1 LO 5 2 6 -3 5 -2 0 2 1 3 3 0 2 -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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Please answer both questions and show work, thanks.
![Use the information in the table to find h'(a) at the given value of a.
h(x) = g(f(x)); a = 0
h'(a) =
x f(x) f'(x) g(x) g'(x)
0
1
2
3
3
1
5
2
6
-3
LO
5
-2
0
2
1
3
3
0
2
-1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0ba51c2d-2712-4e6c-8935-dbcd75fc6eef%2F4693b6f7-fe38-4193-9c47-8d4a2d9d2623%2F8bg25y_processed.png&w=3840&q=75)
Transcribed Image Text:Use the information in the table to find h'(a) at the given value of a.
h(x) = g(f(x)); a = 0
h'(a) =
x f(x) f'(x) g(x) g'(x)
0
1
2
3
3
1
5
2
6
-3
LO
5
-2
0
2
1
3
3
0
2
-1
![Consider the function y = f(x).
f(x) = 8x - 1, x = -3
df
(a) Find at x = -3.
dx
df
dx
=
3
(b) Find x = f¯¹(y).
f-¹(y) =
(c) Use part (b) to find
df-1
dy
=
X
df-1
dy
at y = f(-3).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0ba51c2d-2712-4e6c-8935-dbcd75fc6eef%2F4693b6f7-fe38-4193-9c47-8d4a2d9d2623%2Fdn116rg_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the function y = f(x).
f(x) = 8x - 1, x = -3
df
(a) Find at x = -3.
dx
df
dx
=
3
(b) Find x = f¯¹(y).
f-¹(y) =
(c) Use part (b) to find
df-1
dy
=
X
df-1
dy
at y = f(-3).
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