3. Use the chart below to evaluate the following values. Show as much work as possible! 4 -3 -1 -5 1 f(x) -1 6. f'(x) 10 -1 -3 -10 2 -2 3 4 -3 11 g(x) 2 3. -1 g'(x) d a. (r(9(0))' b. ) when x = -1 dx

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...
Question
Please solve both parts and show all work, thank you! :)
3. Use the chart below to evaluate the following values. Show as much work as possible!
4
-3
-1
-1
6.
-5
1
f(x)
f'(x)
10
-1
-3
-10
2
-2
3
4
-3
11
g(x)
3
-1
g'(x)
5
b. )
when x = -1
a. (F(g(0)'
Transcribed Image Text:3. Use the chart below to evaluate the following values. Show as much work as possible! 4 -3 -1 -1 6. -5 1 f(x) f'(x) 10 -1 -3 -10 2 -2 3 4 -3 11 g(x) 3 -1 g'(x) 5 b. ) when x = -1 a. (F(g(0)'
Expert Solution
Step 1

By chain rule

(f(g(x))'=f'(g(x))(g'(x)

By quotient rule

ddxf(x)g(x)=g(x)f'(x)-f(x)g'(x)g(x)2

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